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Popular >

integral from 1 to 3 of x^2+x

Solution

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

Solution

\frac{38}{3}

+1

Decimal

12.66666 \dots

Solution steps

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} x d x = 4

= \frac{26}{3} + 4

Simplify

\frac{26}{3} + 4 : \frac{38}{3}

= \frac{38}{3}

Graph

Popular Examples

integral from-5 to 1 of x^2+4x-5

\int_{- 5}^{1} x^{2} + 4 x - 5 d x

integral from 0 to 1 of xsqrt(3x^2+1)

\int_{0}^{1} x 3 x^{2} + 1 d x

integral from 0 to 6 of (x-3)^2+2

\int_{0}^{6} (x - 3)^{2} + 2 d x

integral from 1 to 5 of 1/((t-4)^2)

\int_{1}^{5} \frac{1}{( t - 4 ) ^{2}} d t

integral from 0 to 25 of 5sqrt(x)

\int_{0}^{25} 5 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+x ?
The integral from 1 to 3 of x^2+x is 38/3