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Popular >

integral from 0 to 4 of x^2+2

Solution

\int_{0}^{4} x^{2} + 2 d x

Solution

\frac{88}{3}

+1

Decimal

29.33333 \dots

Solution steps

\int_{0}^{4} 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}^{4} x^{2} d x + \int_{0}^{4} 2 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 2 d x = 8

= \frac{64}{3} + 8

Simplify

\frac{64}{3} + 8 : \frac{88}{3}

= \frac{88}{3}

Graph

Popular Examples

integral from 0 to 2 of xsqrt(1-x^2)

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

integral from 0 to θ of x((2x)/(θ^2))

\int_{0}^{θ} x (\frac{2 x}{θ ^{2}}) d x

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

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

integral from-4 to 2 of (2x)/(3x^2+10)

\int_{- 4}^{2} \frac{2 x}{3 x ^{2} + 10} d x

integral from 0 to 3 of (sqrt(9-x^2))/3

\int_{0}^{3} \frac{9 - x ^{2}}{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2+2 ?
The integral from 0 to 4 of x^2+2 is 88/3