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Popular >

integral of u^a

Solution

\int u^{a} d u

Solution

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

Solution steps

\int u^{a} d u

Apply the Power Rule

: \frac{u ^{a + 1}}{a + 1}

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

Add a constant to the solution

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

Popular Examples

integral of e^x(2x)

\int e^{x} (2 x) d x

integral of (x^6)/((9+x^7)^2)

\int \frac{x ^{6}}{( 9 + x ^{7} ) ^{2}} d x

integral of (2x-7)^4

\int (2 x - 7)^{4} d x

integral of 3/(9x)

\int \frac{3}{9 x} d x

integral of 2x^{-3}arctan(x)

\int 2 x^{- 3} arctan (x) d x

Frequently Asked Questions (FAQ)

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