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Popular >

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

Solution

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

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

\int_{1}^{2} 5 d x = 5

= - \frac{7}{3} + 5

Simplify

- \frac{7}{3} + 5 : \frac{8}{3}

= \frac{8}{3}

Graph

Popular Examples

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

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

integral from x to 1 of e^{-y^2}

\int_{x}^{1} e^{- y^{2}} d y

integral from-3 to 4 of | 1/2 x|

\int_{- 3}^{4} \frac{1}{2} x d x

integral from 1 to 5 of (x^3+x^2-x+2)

\int_{1}^{5} (x^{3} + x^{2} - x + 2) d x

integral from 0 to 2 of x^3+2x

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (-x^2+5) ?
The integral from 1 to 2 of (-x^2+5) is 8/3