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Popular >

integral of x^{-p}

Solution

\int x^{- p} d x

Solution

\frac{x ^{- p + 1}}{- p + 1} + C

Solution steps

\int x^{- p} d x

Apply the Power Rule

: \frac{x ^{- p + 1}}{- p + 1}

= \frac{x ^{- p + 1}}{- p + 1}

Add a constant to the solution

= \frac{x ^{- p + 1}}{- p + 1} + C

Graph

Popular Examples

(\partial)/(\partial x)(6x^7y^5z^6)

\frac{\partial}{\partial x} (6 x^{7} y^{5} z^{6})

integral of e^{-st}t^4

\int e^{- s t} t^{4} d t

integral of sqrt(1-x^2)x

\int 1 - x^{2} x d x

area |20x+x^2-x^3|,y=0,[-4,5]area

20 x + x^{2} - x^{3}, y = 0, [- 4, 5]

area x^2+4x-5,-x^2+4x+3 area

x^{2} + 4 x - 5, - x^{2} + 4 x + 3

Frequently Asked Questions (FAQ)

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