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Popular >

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

Solution

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

Solution

\frac{58}{3}

+1

Decimal

19.33333 \dots

Solution steps

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

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

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

= \frac{52}{3} + 2

Simplify

\frac{52}{3} + 2 : \frac{58}{3}

= \frac{58}{3}

Graph

Popular Examples

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

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

integral from 1 to 3 of 2x^2+4

\int_{1}^{3} 2 x^{2} + 4 d x

integral from 0 to pi/2 of xsin(y)

\int_{0}^{\frac{π}{2}} x sin (y) d y

integral from-1 to 0 of 2y+2

\int_{- 1}^{0} 2 y + 2 d y

integral from 1 to 25 of sqrt(3/x)

\int_{1}^{25} \frac{3}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 2x^2+1 ?
The integral from 1 to 3 of 2x^2+1 is 58/3