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Popular >

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

Solution

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

Solution

\frac{68}{3}

+1

Decimal

22.66666 \dots

Solution steps

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

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

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

= \frac{56}{3} + 4

Simplify

\frac{56}{3} + 4 : \frac{68}{3}

= \frac{68}{3}

Graph

Popular Examples

integral from 1 to 2 of x^{1/3}

\int_{1}^{2} x^{\frac{1}{3}} d x

integral from 1 to 3 of 1/32 xy

\int_{1}^{3} \frac{1}{32} x y d y

integral from 0 to 1 of cos^3(x)

\int_{0}^{1} cos^{3} (x) d x

integral from 0 to pi/2 of 10+sin(x)-x^2

\int_{0}^{\frac{π}{2}} 10 + sin (x) - x^{2} d x

integral from 0 to 2 of 8x^2e^{2x}

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of (x^2+2) ?
The integral from 2 to 4 of (x^2+2) is 68/3