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Popular Calculus >

integral of x^u

Solution

\int x^{u} d x

Solution

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

Solution steps

\int x^{u} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of-3x+6

\int - 3 x + 6 d x

integral of x^9(5+x^5)^{99}

\int x^{9} (5 + x^{5})^{99} d x

integral of xsqrt(6x^2+1)

\int x 6 x^{2} + 1 d x

integral of e^{-x/9}

\int e^{- \frac{x}{9}} d x

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

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

Frequently Asked Questions (FAQ)

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