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Popular >

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

Solution

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

Solution

12

Solution steps

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

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

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

= 2 + 10

Simplify

= 12

Graph

Popular Examples

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

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\int_{0}^{\frac{π}{2}} 2 cos^{3} (x) d x

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\int_{- 2}^{5} 6 x - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 3x^2+5 ?
The integral from-1 to 1 of 3x^2+5 is 12