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Popular >

integral from-1 to 1 of 3x^3-2x+5

Solution

\int_{- 1}^{1} 3 x^{3} - 2 x + 5 d x

Solution

10

Solution steps

\int_{- 1}^{1} 3 x^{3} - 2 x + 5 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} 3 x^{3} d x - \int_{- 1}^{1} 2 x d x + \int_{- 1}^{1} 5 d x

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

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

\int_{- 1}^{1} 5 d x = 10

= 0 - 0 + 10

Simplify

= 10

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

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\int_{1}^{4} (x^{\frac{1}{2}} - x^{2}) d x

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\int_{l n (2)}^{l n (8)} e^{x} d x

integral from 4 to 8 of 9

\int_{4}^{8} 9 d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 3x^3-2x+5 ?
The integral from-1 to 1 of 3x^3-2x+5 is 10