en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/(x^e)

Solution

\int \frac{1}{x ^{e}} d x

Solution

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

Solution steps

\int \frac{1}{x ^{e}} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of y=6log_{5}(x^2-6)

d er i v a t i v e y = 6 lo g_{5} (x^{2} - 6)

derivative of y=(5-2x^3)^3

d er i v a t i v e y = (5 - 2 x^{3})^{3}

integral of 2^xx^2

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

integral of x^5sqrt(x^6+3)

\int x^{5} x^{6} + 3 d x

y^'+y=te^{-t}+e^t

y^{^{'}} + y = t e^{- t} + e^{t}

Frequently Asked Questions (FAQ)

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