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Popular >

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

Solution

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

Solution

\frac{62}{3}

+1

Decimal Notation

20.66666 \dots

Solution steps

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

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

\int_{1}^{3} 3 x d x = 12

= \frac{26}{3} + 12

Simplify

\frac{26}{3} + 12 : \frac{62}{3}

= \frac{62}{3}

Popular Examples

integral from 0 to sin(x) of sqrt(t)

\int_{0}^{s i n (x)} t d t

integral from-pi/4 to pi/4 of (-cos(x))

\int_{- \frac{π}{4}}^{\frac{π}{4}} (- cos (x)) d x

integral from 1 to 5 of 1/(x^3)

\int_{1}^{5} \frac{1}{x ^{3}} d x

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

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

integral from 1 to 5 of x^2-2x-8

\int_{1}^{5} x^{2} - 2 x - 8 d x

Frequently Asked Questions (FAQ)

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