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Popular >

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

Solution

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

Solution

\frac{80}{3}

+1

Decimal

26.66666 \dots

Solution steps

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

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

\int_{- 2}^{3} 3 d x = 15

= \frac{35}{3} + 15

Simplify

\frac{35}{3} + 15 : \frac{80}{3}

= \frac{80}{3}

Graph

Popular Examples

integral from-4 to 5 of x

\int_{- 4}^{5} x d x

integral from 4 to 9 of 1/x

\int_{4}^{9} \frac{1}{x} d x

integral from 0 to 4 of (8x-32)

\int_{0}^{4} (8 x - 32) d x

integral from 3 to-3 of (3r+2)^2

\int_{3}^{- 3} (3 r + 2)^{2} d r

integral from 0 to 8 of (16x-128)

\int_{0}^{8} (16 x - 128) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x^2+3) ?
The integral from-2 to 3 of (x^2+3) is 80/3