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Popular >

integral of x^{a-1}

Solution

\int x^{a - 1} d x

Solution

\frac{x ^{a}}{a} + C

Solution steps

\int x^{a - 1} d x

Apply the Power Rule

: \frac{x ^{a}}{a}

= \frac{x ^{a}}{a}

Add a constant to the solution

= \frac{x ^{a}}{a} + C

Graph

Popular Examples

integral of 1/(2+3cos(x))

\int \frac{1}{2 + 3 cos ( x )} d x

integral of 1/((x-4))

\int \frac{1}{( x - 4 )} d x

integral of x^{1/2}(x-1)(x-9)

\int x^{\frac{1}{2}} (x - 1) (x - 9) d x

integral of (3x-2)^7

\int (3 x - 2)^{7} d x

integral of cos^2(x)e^x

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

Frequently Asked Questions (FAQ)

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