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Popular >

integral from 2 to 4 of x^2+1

Solution

\int_{2}^{4} x^{2} + 1 d x

Solution

\frac{62}{3}

+1

Decimal

20.66666 \dots

Solution steps

\int_{2}^{4} x^{2} + 1 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} 1 d x

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

\int_{2}^{4} 1 d x = 2

= \frac{56}{3} + 2

Simplify

\frac{56}{3} + 2 : \frac{62}{3}

= \frac{62}{3}

Graph

Popular Examples

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

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

integral from-3 to 3 of 1/(x(x+1))

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

integral from 0 to 2 of x^2-2

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

integral from 0 to 3 of x(x^2+2)^2

\int_{0}^{3} x (x^{2} + 2)^{2} d x

integral from 0 to 9 of 8-sqrt((64x)/9)

\int_{0}^{9} 8 - \frac{64 x}{9} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2+1 ?
The integral from 2 to 4 of x^2+1 is 62/3