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Popular >

integral from 0 to 3 of (x^2+2)

Solution

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

Solution

15

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 d x = 6

= 9 + 6

Simplify

= 15

Popular Examples

integral from 0 to 4 of 3x^{1/2}-(2x-2)

\int_{0}^{4} 3 x^{\frac{1}{2}} - (2 x - 2) d x

integral from 0 to 1 of 1/(x^{sqrt(3))}

\int_{0}^{1} \frac{1}{x ^{3}} d x

integral from-6 to 6 of 36-x^2

\int_{- 6}^{6} 36 - x^{2} d x

integral from-1 to 1 of |x^2-1|

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

integral from 0 to 2 of (x-1)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x^2+2) ?
The integral from 0 to 3 of (x^2+2) is 15