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Popular >

integral from 0 to 2 of (x^2+8x)

Solution

\int_{0}^{2} (x^{2} + 8 x) d x

Solution

\frac{56}{3}

+1

Decimal Notation

18.66666 \dots

Solution steps

\int_{0}^{2} x^{2} + 8 x 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} 8 x d x

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

\int_{0}^{2} 8 x d x = 16

= \frac{8}{3} + 16

Simplify

\frac{8}{3} + 16 : \frac{56}{3}

= \frac{56}{3}

Popular Examples

integral from 0 to s of 1

\int_{0}^{s} 1 d s

integral from 0 to ln(14) of tanh(x)

\int_{0}^{l n (14)} tanh (x) d x

integral from-1 to 3 of 5x^2-4

\int_{- 1}^{3} 5 x^{2} - 4 d x

integral from 0 to 1 of (5^x)/(5^x+1)

\int_{0}^{1} \frac{5 ^{x}}{5 ^{x} + 1} d x

integral from 0 to 2 of sqrt(2x^2+1)x

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2+8x) ?
The integral from 0 to 2 of (x^2+8x) is 56/3