What is the integral of e^{x^7}x^6 ?

The integral of e^{x^7}x^6 is 1/7 e^{x^7}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{x^7}x^6

\int e^{x^{7}} x^{6} d x

\frac{1}{7} e^{x^{7}} + C

Solution steps

\int e^{x^{7}} x^{6} d x

Apply u-substitution

: \int \frac{e ^{u}}{7} d u

= \int \frac{e ^{u}}{7} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{7} \cdot \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= \frac{1}{7} e^{u}

Substitute back

u = x^{7}

= \frac{1}{7} e^{x^{7}}

Add a constant to the solution

= \frac{1}{7} e^{x^{7}} + C

\int \frac{3 e ^{3 x}}{x} d x

\int \frac{3 + 9 x}{1 + x ^{2}} d x

\int (x^{2} + x + 9) x + 8 d x

\int \frac{x ^{4}}{( 2 + x ^{5} ) ^{6}} d x

\int (3 x - 4) (2 x + 3) d x

What is the integral of e^{x^7}x^6 ?
The integral of e^{x^7}x^6 is 1/7 e^{x^7}+C