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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

ma c l a u r in ln^{2} (1 + x)

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

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

\frac{d}{d x} ((6 x - 1) (3 x - 5)^{- 1})

t an g e n t f (x) = cos (\frac{π x}{2}), at x = 0.7

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