What types of integrals can this calculator solve?

It can solve common indefinite and definite integrals and show step-by-step methods, including substitution and integration by parts.

What’s the difference between indefinite and definite integrals?

An indefinite integral is simply the inverse operation of differentiation and is therefore also called the antiderivative F(x) + C. The definite integral, on the other hand, calculates the area enclosed by the graph of a function and the x-axis over a closed interval [a, b].

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Scan your integrals homework and get step-by-step solutions in the ScanMath app.

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Integrals

\int_{e^{2}}^{e^{3}} \frac{d x}{x ( ln x - 1 )}

Integrals

\int x ln x d x

Integrals

\int (3 x^{2} - 4 x + 1)

Integrals

\int \frac{1}{( 1 + x ^{2} )}

Integrals

\int \frac{2 x}{( x ^{2} + 1 )}

Integrals

\int ln (x)

Integrals

\int sin (x) cos (x)

Integrals

\int_{0}^{2} (y^{2} - 3 y + 5)

About the Integrals Calculator

Free online integrals calculator to solve indefinite and definite integrals with step-by-step explanations. Enter your integral question and get an instant result.

1. Indefinite integrals (antiderivatives)
2. Definite integrals with bounds
3. u-substitution (change of variables)
4. Integration by parts
5. Trigonometric integrals and identities
6. Improper integrals (infinite bounds/discontinuities)

How to Use the Integrals Calculator

Follow these steps to get results and full steps:

1. Enter your integral using ∫ (e.g., ∫_0^1 x^2 dx)
2. Click “Solve”
3. View the final answer and the step-by-step solution

Integral Problem Examples

∫_0^2 (y^2 - 3y + 5) dy

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Frequently Asked Questions

What types of integrals can this calculator solve?

It can solve common indefinite and definite integrals and show step-by-step methods, including substitution and integration by parts.
What’s the difference between indefinite and definite integrals?

An indefinite integral is simply the inverse operation of differentiation and is therefore also called the antiderivative F(x) + C. The definite integral, on the other hand, calculates the area enclosed by the graph of a function and the x-axis over a closed interval [a, b].
Need steps from a photo?

Scan your integrals homework and get step-by-step solutions in the ScanMath app.