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Popular >

integral of-8/pi x

Solution

\int - \frac{8}{π} x d x

Solution

- \frac{4 x ^{2}}{π} + C

Solution steps

\int - \frac{8}{π} x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \frac{8}{π} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - \frac{8}{π} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{8}{π} \cdot \frac{x ^{2}}{2} : - \frac{4 x ^{2}}{π}

= - \frac{4 x ^{2}}{π}

Add a constant to the solution

= - \frac{4 x ^{2}}{π} + C

Popular Examples

tangent of f(x)= 2/(1+e^{-x)},(0,1)tangent of

f (x) = \frac{2}{1 + e ^{- x}}, (0, 1)

x^{^{'}} = (x - 17)^{2}

tangent of f(x)= 7/(x+8),(5, 7/13)tangent of

f (x) = \frac{7}{x + 8}, (5, \frac{7}{13})

y^{^{'}} = 0.06 (y - 65)

sum from n=1 to infinity of n/(2n+1)

n = 1 \sum \infty \frac{n}{2 n + 1}

Frequently Asked Questions (FAQ)

What is the integral of-8/pi x ?
The integral of-8/pi x is -(4x^2)/pi+C