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Popular >

integral from 0 to 2 of (x^2+5)

Solution

\int_{0}^{2} (x^{2} + 5) d x

Solution

\frac{38}{3}

+1

Decimal

12.66666 \dots

Solution steps

\int_{0}^{2} 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_{0}^{2} x^{2} d x + \int_{0}^{2} 5 d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 5 d x = 10

= \frac{8}{3} + 10

Simplify

\frac{8}{3} + 10 : \frac{38}{3}

= \frac{38}{3}

Graph

Popular Examples

integral from 1 to 2 of 1/(xsqrt(x^2+1))

\int_{1}^{2} \frac{1}{x x ^{2} + 1} d x

integral from 1 to 3 of 25-(x-5)^2

\int_{1}^{3} 25 - (x - 5)^{2} d x

integral from-1 to 1 of [(2-x^2)-x^2]

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

integral from 1 to 6 of (x^4-3x^2)/(x^3)

\int_{1}^{6} \frac{x ^{4} - 3 x ^{2}}{x ^{3}} d x

integral from-1 to 3 of (2x+3)-x^2

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2+5) ?
The integral from 0 to 2 of (x^2+5) is 38/3