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Popular >

integral of x^n

Solution

\int x^{n} d x

Solution

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

Solution steps

\int x^{n} d x

Apply the Power Rule

: \frac{x ^{n + 1}}{n + 1}

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

Add a constant to the solution

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

Popular Examples

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

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

limit as x approaches 0-of sin(1/x)

x \to 0 - lim (sin (\frac{1}{x}))

derivative of e^x(3x^2+5x-1)

\frac{d}{d x} (e^{x} (3 x^{2} + 5 x - 1))

integral of 1-2cos(2x)

\int 1 - 2 cos (2 x) d x

integral of 1/(2x^2sqrt(x^2-9))

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

Frequently Asked Questions (FAQ)

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