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Popular >

integral from 1 to 2 of (x^2+5)

Solution

\int_{1}^{2} (x^{2} + 5) d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{1}^{2} x^{2} + 5 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_{1}^{2} x^{2} d x + \int_{1}^{2} 5 d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

\int_{1}^{2} 5 d x = 5

= \frac{7}{3} + 5

Simplify

\frac{7}{3} + 5 : \frac{22}{3}

= \frac{22}{3}

Graph

Popular Examples

integral from 1 to 2 of 2x+3

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

integral from-7 to 8 of 1/(sqrt(8-x))

\int_{- 7}^{8} \frac{1}{8 - x} d x

integral from 0 to 2pi of t^2

\int_{0}^{2 π} t^{2} d t

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

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

integral from 2 to 4 of-2x

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^2+5) ?
The integral from 1 to 2 of (x^2+5) is 22/3