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Popular >

integral from 0 to 1 of 4x^3-3x^2

Solution

\int_{0}^{1} 4 x^{3} - 3 x^{2} d x

Solution

0

Solution steps

\int_{0}^{1} 4 x^{3} - 3 x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} 4 x^{3} d x - \int_{0}^{1} 3 x^{2} d x

\int_{0}^{1} 4 x^{3} d x = 1

\int_{0}^{1} 3 x^{2} d x = 1

= 1 - 1

Simplify

= 0

Popular Examples

integral from 0 to 1 of xe^{4x^2+3}

\int_{0}^{1} x e^{4 x^{2} + 3} d x

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\int_{0}^{\frac{π}{6}} (cos (x)) d x

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\int_{- 2}^{0} (3 x - 2 e^{x}) d x

integral from 0 to 2 of-x^3+x^2+2x

\int_{0}^{2} - x^{3} + x^{2} + 2 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 4x^3-3x^2 ?
The integral from 0 to 1 of 4x^3-3x^2 is 0