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Popular >

integral of 1/(x^pi)

Solution

\int \frac{1}{x ^{π}} d x

Solution

\frac{x ^{- π + 1}}{- π + 1} + C

Solution steps

\int \frac{1}{x ^{π}} d x

Apply the Power Rule

: \frac{x ^{- π + 1}}{- π + 1}

= \frac{x ^{- π + 1}}{- π + 1}

Add a constant to the solution

= \frac{x ^{- π + 1}}{- π + 1} + C

Popular Examples

limit as x approaches 0 of (6x)/(3x)

x \to 0 lim (\frac{6 x}{3 x})

(dy)/(dx)=e^{9x-6y}

\frac{d y}{d x} = e^{9 x - 6 y}

derivative of (ln(x)/(x+1))

\frac{d}{d x} (\frac{ln ( x )}{x + 1})

sum from k=1 to infinity of sin(kpi)

k = 1 \sum \infty sin (kπ)

integral of (4x-11)/((2x-1)(x+4))

\int \frac{4 x - 11}{( 2 x - 1 ) ( x + 4 )} d x

Frequently Asked Questions (FAQ)

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