Solvecoon

Calculus solver

Calculus, with
the rule named.

In calculus the answer is rarely the problem. Knowing which rule applies and in what order is. Every step Solvecoon writes says which rule it used, so the working doubles as a reason for choosing it.

Add to Chrome →See pricing

Free to try — 5 solves every day. No credit card.

How it works

1

Snap the expression

Integrals and fractions rarely survive copy-paste, so the snap shortcut is usually faster here.

2

See the rule, then the algebra

Chain rule, product rule, u-substitution, integration by parts: each is named before it is used.

3

Simplify the way your course does

Ask for the factored form, or for the answer left unsimplified so it matches the mark scheme.

What it handles

Limits

Direct substitution, factoring, conjugates, and L'Hopital's rule with the indeterminate form identified.

Derivatives

Power, product, quotient, and chain rules, implicit differentiation, and higher derivatives.

Integrals

Definite and indefinite, u-substitution, by parts, and partial fractions.

Applications

Related rates, optimization, area between curves, and motion problems.

Curve sketching

Critical points, inflection points, and what the sign of each derivative tells you.

Series

Convergence tests with the test named and its conditions checked.

A real one, worked out

This is the shape of every answer: the result first, then the reasoning that got there.

Question

Differentiate f(x) = x^3 e^(2x)

Answer

f'(x) = x^2 e^(2x) (3 + 2x)

Steps

  1. 1Two functions multiplied, so use the product rule: (uv)' = u'v + uv'.
  2. 2Let u = x^3, so u' = 3x^2.
  3. 3Let v = e^(2x). By the chain rule v' = 2 e^(2x).
  4. 4Apply the rule: f'(x) = 3x^2 e^(2x) + x^3 (2 e^(2x)).
  5. 5Factor out the common x^2 e^(2x): f'(x) = x^2 e^(2x) (3 + 2x).

The chain rule inside the product rule is where marks go missing. The derivative of e^(2x) is 2e^(2x), not e^(2x).

Solvecoon raccoon mascot

Name the rule before you use it. That habit alone is worth a grade.

What it will not do

  • It will not be used in a graded test or a proctored exam.
  • It will not read an integral whose limits were cut off by your selection box.
  • It will not always choose your textbook's substitution. Ask for a specific one if it matters.
  • It will not prove theorems rigorously enough for a proof-based course. It is a solver, not a referee.

Solvecoon is a study aid, not an answer machine. Exams, graded quizzes, and proctored tests are off limits — see the acceptable use policy.

Questions people ask

Does it do definite integrals with the bounds evaluated?
Yes, and it shows the antiderivative first, then the evaluation at each bound, then the subtraction.
Can it handle implicit differentiation?
Yes. It differentiates both sides with respect to x, marks every dy/dx term as it appears, and solves for dy/dx at the end.
Will it show which convergence test to use?
It names the test, checks the conditions the test requires, and then applies it. That order matters more than the conclusion.
How do I get math out of a PDF?
Snap it. Cmd/Ctrl + Shift + S and drag a box around the expression. Copy-pasting math from a PDF usually mangles the symbols.
Solvecoon raccoon mascot

Stuck on something?

Select it or snap it — Solvecoon understands it.

Add to Chrome →

Free to try — 5 solves every day. No credit card.