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Popular >

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

Solution

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

Solution

\frac{22}{3}

+1

Decimal Notation

7.33333 \dots

Solution steps

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

\int_{- 1}^{1} 5 x^{2} d x = \frac{10}{3}

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

= \frac{10}{3} + 4

Simplify

\frac{10}{3} + 4 : \frac{22}{3}

= \frac{22}{3}

Popular Examples

integral from 1.5 to 3 of 1/8 x

\int_{1.5}^{3} \frac{1}{8} x d x

integral from 1 to e of (14+ln(x))^2

\int_{1}^{e} (14 + ln (x))^{2} d x

integral from-1 to 0 of (xe^y-y)

\int_{- 1}^{0} (x e^{y} - y) d x

integral from 1 to 5 of 5/2 e^{0.4x}

\int_{1}^{5} \frac{5}{2} e^{0.4 x} d x

integral from 0 to r of (br^3+cr^2)

\int_{0}^{r} (b r^{3} + c r^{2}) d r

Frequently Asked Questions (FAQ)

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