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Popular >

integral from 0 to 1 of (3x^2-1)

Solution

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

Solution

0

Solution steps

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

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

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

= 1 - 1

Simplify

= 0

Popular Examples

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\int_{- 1}^{\infty} 3 e^{- 4 x} d x

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

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\int_{0}^{a} y a^{2} - y^{2} d y

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\int_{\frac{π}{6}}^{\frac{5 π}{6}} sin (x) d x

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\int_{- 3}^{3} (3 x^{3} - 2 x^{2} + x + 1) d x

Frequently Asked Questions (FAQ)

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