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Popular >

integral of-6/pi x

Solution

\int - \frac{6}{π} x d x

Solution

- \frac{3 x ^{2}}{π} + C

Solution steps

\int - \frac{6}{π} x d x

Take the constant out:

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

= - \frac{6}{π} \cdot \int x d x

Apply the Power Rule

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

= - \frac{6}{π} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{6}{π} \cdot \frac{x ^{2}}{2} : - \frac{3 x ^{2}}{π}

= - \frac{3 x ^{2}}{π}

Add a constant to the solution

= - \frac{3 x ^{2}}{π} + C

Graph

Popular Examples

limit as x approaches 0 of (3x)^{x^2}

x \to 0 lim ((3 x)^{x^{2}})

tangent of f(x)2x+10y-9=0 tangent of

f (x) 2 x + 10 y - 9 = 0

integral of cos(-6x)

\int cos (- 6 x) d x

derivative of y=(-13)/(\sqrt[4]{x)}derivative of

y = \frac{- 13}{4 x}

derivative of g(x)=x^2(1-3x)derivative of

g (x) = x^{2} (1 - 3 x)

Frequently Asked Questions (FAQ)

What is the integral of-6/pi x ?
The integral of-6/pi x is -(3x^2)/pi+C