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Popular >

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}

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

Add a constant to the solution

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

Popular Examples

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

y = 6 lo g_{5} (x^{2} - 6)

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

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

derivative of f(x)=(e^x)/(-8x^7)derivative of

f (x) = \frac{e ^{x}}{- 8 x ^{7}}

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