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Popular >

integral from-1 to 1 of (x^3+1)

Solution

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

Solution

2

Solution steps

\int_{- 1}^{1} x^{3} + 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_{- 1}^{1} x^{3} d x + \int_{- 1}^{1} 1 d x

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

\int_{- 1}^{1} 1 d x = 2

= 0 + 2

Simplify

= 2

Graph

Popular Examples

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\int_{2}^{3} \frac{1}{x ^{3}} d x

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\int_{- \frac{π}{2}}^{\frac{π}{2}} sin (θ) d θ

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

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\int_{0}^{4} (4 - 4 x) - (4 - x^{2}) d x

Frequently Asked Questions (FAQ)

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