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Popular >

integral of x^pi

Solution

\int x^{π} d x

Solution

\frac{x ^{π + 1}}{π + 1} + C

Solution steps

\int x^{π} d x

Apply the Power Rule

: \frac{x ^{π + 1}}{π + 1}

= \frac{x ^{π + 1}}{π + 1}

Add a constant to the solution

= \frac{x ^{π + 1}}{π + 1} + C

Popular Examples

integral of 2sqrt(x)+3

\int 2 x + 3 d x

limit as x approaches 0 of x^{x^x}-1

x \to 0 lim (x^{x^{x}} - 1)

derivative of (x^2)/3+1/(x^2)derivative of

\frac{x ^{2}}{3} + \frac{1}{x ^{2}}

yy^'=-2x(1+y^2)

y y^{^{'}} = - 2 x (1 + y^{2})

limit as x approaches 3 of 2f(x)-3g(x)

x \to 3 lim (2 f (x) - 3 g (x))

Frequently Asked Questions (FAQ)

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