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Popular >

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

Solution

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

Solution

\frac{85}{6}

+1

Decimal Notation

14.16666 \dots

Solution steps

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

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

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

= \frac{35}{3} + \frac{5}{2}

Simplify

\frac{35}{3} + \frac{5}{2} : \frac{85}{6}

= \frac{85}{6}

Popular Examples

integral from 0 to 2 of 4x^2e^{x^3}

\int_{0}^{2} 4 x^{2} e^{x^{3}} d x

integral from-1 to 1 of sin(t)

\int_{- 1}^{1} sin (t) d t

integral from-7 to-2 of sqrt(2-x)

\int_{- 7}^{- 2} 2 - x d x

integral from 0 to 1 of 4xe^{5x}

\int_{0}^{1} 4 x e^{5 x} d x

integral from 0 to 1 of 1/((1+2y)^3)

\int_{0}^{1} \frac{1}{( 1 + 2 y ) ^{3}} d y

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x^2+x) ?
The integral from-2 to 3 of (x^2+x) is 85/6