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Popular >

integral of x^m

Solution

\int x^{m} d x

Solution

\frac{x ^{m + 1}}{m + 1} + C

Solution steps

\int x^{m} d x

Apply the Power Rule

: \frac{x ^{m + 1}}{m + 1}

= \frac{x ^{m + 1}}{m + 1}

Add a constant to the solution

= \frac{x ^{m + 1}}{m + 1} + C

Popular Examples

integral of 1/(x^4+4x^2)

\int \frac{1}{x ^{4} + 4 x ^{2}} d x

y^{''}+2y^'+5y=4e^{-t}cos(2t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 e^{- t} cos (2 t)

x \cdot d x - y^{2} \cdot d y = 0

y^{^{'}} = x^{2} + 1

integral of t/((t^2+1)^{15/2)}

\int \frac{t}{( t ^{2} + 1 ) ^{\frac{15}{2}}} d t

Frequently Asked Questions (FAQ)

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