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Popular >

integral from-2 to 5 of 10x-x^2

Solution

\int_{- 2}^{5} 10 x - x^{2} d x

Solution

\frac{182}{3}

+1

Decimal Notation

60.66666 \dots

Solution steps

\int_{- 2}^{5} 10 x - x^{2} 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}^{5} 10 x d x - \int_{- 2}^{5} x^{2} d x

\int_{- 2}^{5} 10 x d x = 105

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

= 105 - \frac{133}{3}

Simplify

105 - \frac{133}{3} : \frac{182}{3}

= \frac{182}{3}

Popular Examples

integral from 0 to 1 of x/3

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

integral from 1 to x^4 of t^2ln(t)

\int_{1}^{x^{4}} t^{2} ln (t) d t

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

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

integral from-3 to 1 of 3x^2+x-10

\int_{- 3}^{1} 3 x^{2} + x - 10 d x

integral from-2 to 3 of arctan(x)

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of 10x-x^2 ?
The integral from-2 to 5 of 10x-x^2 is 182/3