Calculus Solver with Steps

A free calculus solver that shows its work. Type, paste or snap any derivative, integral or limit, and see every step with the rule behind it. Then solve the next one yourself.

  • 10free answers a day
  • Everystep and rule shown
  • Calc 2and Calc 1, limits to series

Updated

Free calculus solver

Solve a calculus question

Type it, paste it, or upload a photo. You get the answer, every step, and the idea behind it.

or paste / drop an image

Sign in to see the solution

It's free and takes a few seconds. We'll keep your question right here.

  • Photo or text. Snap your worksheet or type the problem.
  • Every step, with the why. Not just an answer to copy.
  • 10 free answers a day. No card needed.

What is a calculus solver?

A calculus solver works out calculus problems and shows each step. QuizeGpt's calculus problem solver goes further: it names the rule it uses and explains why that rule fits. You see the method, not just the answer, so the next problem gets easier.

  • Type a problem, paste a screenshot, or upload a photo.
  • Get the answer with every step, written in plain words.
  • Ask a follow-up if a step doesn't make sense.

What the calculus problem solver can do

From your first limit to Calculus 2 series, here's what the solver handles, and how it explains each one.

Calculus topicWhat you get
LimitsPlugs in, factors or simplifies, and explains why the limit is what it is.
DerivativesPower, product, quotient and chain rule, with each rule named.
Implicit differentiationTakes the derivative of both sides and solves for dy/dx.
Related rates and optimizationTurns the word problem into an equation, then solves it step by step.
IntegralsIndefinite and definite integrals, including the + C and the bounds.
Integration techniquesu-substitution, integration by parts and partial fractions.
Series and sequencesPicks a test, like the ratio test, and shows why it works.
Graphs and photosReads a graph, a table or a photo of your homework.

Calculus solver with steps: worked examples

This is what a step by step calculus solver gives you. Each step names the rule, so you can follow along.

Derivative · Chain rule

Find dy/dx if y = (2x² + 1)⁵

  1. This is a function inside a function, so use the chain rule.
  2. Outside: u⁵ → 5u⁴. Inside: u = 2x² + 1, so du/dx = 4x.
  3. Multiply them: 5(2x² + 1)⁴ · 4x.

Answer: dy/dx = 20x(2x² + 1)⁴

Limit

Find the limit of (x² − 9) ÷ (x − 3) as x → 3

  1. Plugging in 3 gives 0 ÷ 0, so simplify first.
  2. Factor the top: x² − 9 = (x − 3)(x + 3).
  3. Cancel (x − 3), leaving x + 3. Now plug in 3: 3 + 3 = 6.

Answer: The limit is 6

Definite integral

Evaluate ∫ from 0 to 2 of 3x² dx

  1. Power rule for integrals: ∫ 3x² dx = x³.
  2. Plug in the top bound, then the bottom: 2³ − 0³.
  3. 8 − 0 = 8. (No + C on a definite integral.)

Answer: 8

Calculus 2 · u-substitution

Evaluate ∫ 2x · cos(x²) dx

  1. Let u = x². Then du = 2x dx, which is already in the integral.
  2. The integral becomes ∫ cos(u) du = sin(u).
  3. Put x² back in for u, and add the constant.

Answer: sin(x²) + C

Try it without signing in

Pick a sample problem, then drag a box over it to snap it, just like the Chrome extension does on your homework page.

Power rule

Find f′(x) if f(x) = 4x³ − 2x² + 7

  • 12x² − 4x
  • 12x² − 4x + 7
  • 4x² − 2x
  • 12x³ − 4x²
QuizeGptSolved

Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.

  1. Power rule: the derivative of xⁿ is n·xⁿ⁻¹
  2. 4x³ → 12x², and −2x² → −4x
  3. The constant 7 → 0, so f′(x) = 12x² − 4x
✓ 3x Verified 12x² − 4x The +7 should disappear, because a constant's derivative is 0. The other two don't lower the power by one.

Sample questions with saved answers. The extension works on any question you snap. Want the full tour? Try the interactive demo.

Calculus 2 solver: integrals and series

Calculus 2 is where many students get stuck. The hard part isn't the math. It's knowing which method to use. QuizeGpt tells you which one fits and why.

Integration techniques

  • u-substitution when you see a function and its derivative.
  • Integration by parts for products like x·eˣ.
  • Partial fractions for fractions of polynomials.

Series and sequences

  • Ratio test for factorials and powers.
  • Comparison tests when a series looks like one you know.
  • Taylor series, built one term at a time.

How to solve calculus problems, step by step

Whether you use a solver or not, this five-step method works on almost any calculus problem.

  1. Step 1

    Read what it asks

    Is it a limit, a derivative, an integral or a word problem? The type tells you which tools to use.

  2. Step 2

    Pick the rule

    Power, chain, product, quotient, substitution or parts. Match the shape of the problem to the rule.

  3. Step 3

    Simplify first

    Factor, expand or rewrite roots and fractions as powers. Clean problems are easier to solve.

  4. Step 4

    Work one step at a time

    Write each step on its own line. Most mistakes happen when two steps are squeezed into one.

  5. Step 5

    Check your answer

    Plug in a number, take the derivative of your integral, or check the units in a word problem.

How to check a calculus answer

Any tool can slip, and so can you. These quick checks catch most mistakes, and they're good habits for the exam.

🔁

Undo an integral

Take the derivative of your answer. If you get back the problem you started with, it's right.

🔢

Plug in a number

Try x = 1 or x = 2 in the problem and in your answer. A limit should match values close by.

📏

Check the units

In word problems, a rate needs units per time, like m/s. Wrong units mean a wrong setup.

Common calculus mistakes to avoid

Forgetting the + C

Every indefinite integral needs a constant. Definite integrals don't.

Skipping the inside derivative

The chain rule means you multiply by the derivative of the inside function. It's the most common miss.

Mixing up the power rules

Derivatives lower the power by one. Integrals raise it by one and divide by the new power.

A calculus homework solver for any page

The QuizeGpt Chrome extension brings the calculus homework solver to the page you're on. Press Ctrl/⌘+Shift+U, drag a box around the problem, and the steps show up in a side panel.

✓ Great for

  • Homework where help is allowed.
  • Practice problems and textbook PDFs.
  • Review after you submit, before the exam.

✕ Not for

  • Tests and graded quizzes. Keep it closed.
  • Proctored exams. Do your own work.

Doing calculus online? See how QuizeGpt explains McGraw Hill Connect questions, ALEKS topics, Canvas practice quizzes and IXL skills. New to derivatives? Read how to understand derivatives. Business calculus too? Try the accounting solver.

Is the calculus solver free?

Yes. You get 10 free answers a day. Upgrade only if you need more.

Free

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  • 10 answers a day
  • Hints and follow-up chat
  • Unlimited daily reviews
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$7.99 / month

Billed monthly. Also $4.99 a week, $29.99 a semester, or $59.99 a year.

  • Unlimited answers (fair use)
  • Full step-by-step explanations
  • Checked answers for harder questions
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✓ Cancel anytime. 7-day money-back guarantee on your first payment.

Calculus help: QuizeGpt vs other tools

Thinking of other apps for calculus? Here's how they stack up.

QuizeGpt vs Quizlet

Quizlet helps you memorize. QuizeGpt explains any question you snap.

Solves any question
QuizeGpt: Yes — any page, PDF, or imageQuizlet: Limited
Step-by-step help
QuizeGpt: Yes, with confidence levelQuizlet: No
Free plan
QuizeGpt: Yes — 10 answers/dayQuizlet: Yes (with upsells)

QuizeGpt vs SnapGPT

Both snap a question. QuizeGpt is built to help you learn it.

Shows how sure it is
QuizeGpt: YesSnapGPT: Not highlighted
Hints and why it's wrong
QuizeGpt: YesSnapGPT: Varies
Stays off graded tests
QuizeGpt: Yes — by designSnapGPT: Not stated

QuizeGpt vs Chegg

Chegg has a big bank of answers. QuizeGpt explains your exact question in seconds.

Speed
QuizeGpt: SecondsChegg: Minutes to hours (expert Q&A)
Works on any site
QuizeGpt: YesChegg: No — its own site/app
Free plan
QuizeGpt: Yes — 10 answers/dayChegg: Limited / trial

See all comparisons →

Calculus FAQ

Is there a free calculus solver with steps?

Yes. QuizeGpt is a free calculus solver with steps. You get 10 answers a day for free, each with every step and the rule behind it. No card is needed.

What calculus problems can it solve?

Limits, derivatives, integrals, related rates, optimization, series and word problems. It covers Calculus 1 and Calculus 2 topics, and it can read a graph or a photo of your homework.

Is it a calculus 2 solver too?

Yes. It works through u-substitution, integration by parts, partial fractions and series tests, and it explains why each method fits the problem.

Can I upload a photo of my calculus homework?

Yes. Paste a screenshot, drop a photo, or type the problem. With the Chrome extension, you can also snap a problem right from your homework page or textbook PDF.

Is a calculus solver the same as a calculus calculator?

Not quite. A calculus calculator gives you the answer. A calculus solver with steps also shows the method and names each rule, so you can solve the next one yourself.

How accurate are the answers?

It's built to be careful with math, and it shows every step so you can check the work yourself. For big assignments, check the final answer too: plug in a number, or take the derivative of your integral.

Will it do my calculus homework for me?

It shows you how to solve each problem, step by step. Use the steps to learn the method, then try the next problem on your own. That's what helps on the exam.

Can I use it on a calculus test?

No. Keep QuizeGpt closed on tests, quizzes that count, and proctored exams. Use it for homework you're allowed help on, practice problems, and review after you submit.

Does it work with my homework site?

Yes. The Chrome extension works on any page, including McGraw Hill Connect, ALEKS, Canvas, IXL, textbook PDFs and lecture slides.

Do I need an account?

You can try the sample problems on this page without one. To solve your own calculus problem, sign in for free. That's how we keep track of your 10 free answers a day.

More step by step solvers

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