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\int_{0}^{1}\left(x^2-x^3\right)dx

Integrate x^2-x^3 from 0 to 1

Answer

$\frac{1}{12}$

Step-by-step explanation

Problem to solve:

$\int_{0}^{1}\left(x^2-x^3\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{0}^{1} x^2dx+\int_{0}^{1}-x^3dx$
2

Take the constant out of the integral

$\int_{0}^{1} x^2dx-\int_{0}^{1} x^3dx$

Unlock this step-by-step solution!

Answer

$\frac{1}{12}$
$\int_{0}^{1}\left(x^2-x^3\right)dx$

Main topic:

Integral calculus

Used formulas:

1. See formulas

Time to solve it:

~ 0.71 seconds