What is the integral of 3/(y^pi) ?

The integral of 3/(y^pi) is 3/(-pi+1)y^{-pi+1}+C

Popular >

integral of 3/(y^pi)

\int \frac{3}{y ^{π}} d y

\frac{3}{- π + 1} y^{- π + 1} + C

Solution steps

\int \frac{3}{y ^{π}} d y

Take the constant out:

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

= 3 \cdot \int \frac{1}{y ^{π}} d y

Apply the Power Rule

: \frac{y ^{- π + 1}}{- π + 1}

= 3 \cdot \frac{y ^{- π + 1}}{- π + 1}

Simplify

3 \cdot \frac{y ^{- π + 1}}{- π + 1} : \frac{3}{- π + 1} y^{- π + 1}

= \frac{3}{- π + 1} y^{- π + 1}

Add a constant to the solution

= \frac{3}{- π + 1} y^{- π + 1} + C

\frac{\partial}{\partial x} (\frac{8.31 y}{x})

\frac{\partial}{\partial x} (x cos (y) - 2 y)

\int (x^{2} \frac{e ^{- 2 x}}{2}) d x

7 (t + 1) \frac{d y}{d t} - 6 y = 6 t

\frac{2}{3 s ^{2} + 4}

What is the integral of 3/(y^pi) ?
The integral of 3/(y^pi) is 3/(-pi+1)y^{-pi+1}+C