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Popular >

integral from-5 to 6 of (10-5x)

Solution

\int_{- 5}^{6} (10 - 5 x) d x

Solution

\frac{165}{2}

+1

Decimal

82.5

Solution steps

\int_{- 5}^{6} 10 - 5 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_{- 5}^{6} 10 d x - \int_{- 5}^{6} 5 x d x

\int_{- 5}^{6} 10 d x = 110

\int_{- 5}^{6} 5 x d x = \frac{55}{2}

= 110 - \frac{55}{2}

Simplify

110 - \frac{55}{2} : \frac{165}{2}

= \frac{165}{2}

Graph

Popular Examples

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

\int_{- 1}^{1} \frac{1}{1 + y ^{2}} d y

integral from 0 to infinity of 2e^{-x}sin(x)

\int_{0}^{\infty} 2 e^{- x} sin (x) d x

integral from 1 to 2x of sqrt(t^2+1)

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

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

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

integral from 0 to 5 of 10x

\int_{0}^{5} 10 x d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 6 of (10-5x) ?
The integral from-5 to 6 of (10-5x) is 165/2