Integral Calculator

Integral Calculator with Steps

Solves your calculus problems step-by-step

  • Lower bound:
  • Upper bound:


I'm ready. Enter an expression and let's start.

Q & A

What functions does the integral calculator understand?

The calculator understands all trigonometric (sine, cosine, tangent), inverse trigonometric, reciprocal (cosecant, secant, cotangent), as well as hyperbolic and inserve hyperbolic functions. Of course, square roots and logarithms are supported as well. The calculator will interprete the variable e as the base of the natural logarithm. All supported functions and constants appear on the input keyboard (when using the website on a desktop computer or a tablet). Of course, you are free to enter the functions with your keyboard as well. When using the calculator on your phone, the notation is the same as with any regular graphing calculator. You can use all variables from a to z.

How do I enter cubic (or other) roots?

Roots, other than the square root, must be expressed as exponents. Instead of writing $\sqrt[n]{x}$ you must input $x^\frac{1}{n}$ — both are mathematically equivalent and so will be their antiderivative. (That is also why the power rule is applied to roots.)

How can I share the solution with a friend?

If you are working on your homework and want to easily share the solution with a friend or collegue, you can use the link provided at the very bottom of this page. Once you have calculated an integral, the link will automatically be updated.

Why does the integral calculator add a "+C" at the end of the answer?

The C is the constant of integration and without it, the solution wouldn't be mathematically correct. Differentiation and integration are inverse operations: if you have a function, take its derivative and integrate it again, you should be back where you started: the original function. But since constants are lost during differentiation, the resulting integral becomes ambiguous and since mathematicians don't like ambiguity, we have to add +C to account for it.

What if there is more than one way to find the integral?

Often, there will be more than one way to determine an integral. If there is, the integral calculator will try to work out both methods and show the steps for both (or more, if there are more).

How do I enter the integration bounds?

If you want to calculate an indefinite integral instead of a definite one, you need to enter the bounds of integration. Below the input field are two boxes labeled "upper bound" and "lower bound". To tell the integral calculator that you want to determine a definite integral, you must fill out both boxes. Note: you can enter all constants and functions that the integral calculator understands into the boxes, so something like $\int^{\cos(4)}_{\pi} x\; \mathrm{d}x$ would be possible.

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