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Popular >

integral of x^α

Solution

\int x^{α} d x

Solution

\frac{x ^{α + 1}}{α + 1} + C

Solution steps

\int x^{α} d x

Apply the Power Rule

: \frac{x ^{α + 1}}{α + 1}

= \frac{x ^{α + 1}}{α + 1}

Add a constant to the solution

= \frac{x ^{α + 1}}{α + 1} + C

Graph

Popular Examples

integral of cos(x^4)2x^3

\int cos (x^{4}) 2 x^{3} d x

integral of x(2x^2+5)^4

\int x (2 x^{2} + 5)^{4} d x

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

\int \frac{e ^{\frac{1}{x}} - x}{x ^{2}} d x

integral of 6x(x^3-1)^3

\int 6 x (x^{3} - 1)^{3} d x

integral of x^2-7x+9

\int x^{2} - 7 x + 9 d x

Frequently Asked Questions (FAQ)

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