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Popular >

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

Solution

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

Solution

6

Solution steps

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

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

\int_{- 1}^{1} 3 d x = 6

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

= - 0 + 6 - 0

Simplify

= 6

Graph

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\int_{0}^{π} 3

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

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\int_{3}^{5} x^{3} + 5 x^{2} - 2 d x

integral from-1 to 1 of ln(1+x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of-x^3+3-x ?
The integral from-1 to 1 of-x^3+3-x is 6