What is the integral of x^{21}e^{x^{22}} ?

The integral of x^{21}e^{x^{22}} is 1/22 e^{x^{22}}+C

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integral of x^{21}e^{x^{22}}

\int x^{21} e^{x^{22}} d x

\frac{1}{22} e^{x^{22}} + C

Solution steps

\int x^{21} e^{x^{22}} d x

Apply u-substitution

: \int \frac{1}{22} d u

= \int \frac{1}{22} d u

Integral of a constant:

\int a d x = a x

= \frac{1}{22} u

Substitute back

u = e^{x^{22}}

= \frac{1}{22} e^{x^{22}}

Add a constant to the solution

= \frac{1}{22} e^{x^{22}} + C

ln^{2} (1 + x)

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

\int \frac{x ^{15}}{1 + x ^{16}} d x

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

\frac{d}{d x} (2 tan (2 x))

What is the integral of x^{21}e^{x^{22}} ?
The integral of x^{21}e^{x^{22}} is 1/22 e^{x^{22}}+C