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Popular >

integral from 2 to 4 of (x^2+2x)

Solution

\int_{2}^{4} (x^{2} + 2 x) d x

Solution

\frac{92}{3}

+1

Decimal Notation

30.66666 \dots

Solution steps

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

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

= \frac{56}{3} + 12

Simplify

\frac{56}{3} + 12 : \frac{92}{3}

= \frac{92}{3}

Popular Examples

integral from-1 to 0 of-xcos(npix)

\int_{- 1}^{0} - x cos (nπ x) d x

integral from 2 to 6 of 2x^2+4

\int_{2}^{6} 2 x^{2} + 4 d x

integral from-2 to 4 of x^2

\int_{- 2}^{4} x^{2} d x

integral from 0 to pi/4 of sin(θ)

\int_{0}^{\frac{π}{4}} sin (θ) d θ

integral from 0 to 1 of 2-2x

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of (x^2+2x) ?
The integral from 2 to 4 of (x^2+2x) is 92/3