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Popular >

integral from 0 to 8 of (8-x)

Solution

\int_{0}^{8} (8 - x) d x

Solution

32

Solution steps

\int_{0}^{8} 8 - 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_{0}^{8} 8 d x - \int_{0}^{8} x d x

\int_{0}^{8} 8 d x = 64

\int_{0}^{8} x d x = 32

= 64 - 32

Simplify

= 32

Graph

Popular Examples

integral of (x^2sqrt(3^3)+5)

\int (x^{2} 3^{3} + 5) d x

integral of (e^{2x})/(2+e^x)

\int \frac{e ^{2 x}}{2 + e ^{x}} d x

derivative of 1/4 x^2-1/2 ln(x)derivative of

\frac{1}{4} x^{2} - \frac{1}{2} ln (x)

(\partial)/(\partial x)(x^2-8x+y^2*ln(x-1))

\frac{\partial}{\partial x} (x^{2} - 8 x + y^{2} \cdot ln (x - 1))

integral of x^{-a}

\int x^{- a} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of (8-x) ?
The integral from 0 to 8 of (8-x) is 32