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Popular >

integral of x^e

Solution

\int x^{e} d x

Solution

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

Solution steps

\int x^{e} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of 2/(e^xsqrt(11+e^{2x))}

\int \frac{2}{e ^{x} 11 + e ^{2 x}} d x

integral of 7cos^3(3x)

\int 7 cos^{3} (3 x) d x

x y^{^{'}} + 3 y = 0

limit as x approaches 0+of 3

x \to 0 + lim (3)

derivative of f(x)=cos(2sin(x))derivative of

f (x) = cos (2 sin (x))

Frequently Asked Questions (FAQ)

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