What is the integral of x^25^{x^3} ?

The integral of x^25^{x^3} is 1/(3ln(5))*5^{x^3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^25^{x^3}

\int x^{2} 5^{x^{3}} d x

\frac{1}{3 ln ( 5 )} \cdot 5^{x^{3}} + C

Solution steps

\int x^{2} \cdot 5^{x^{3}} d x

Apply u-substitution

: \int \frac{1}{3 ln ( 5 )} d u

= \int \frac{1}{3 ln ( 5 )} d u

Integral of a constant:

\int a d x = a x

= \frac{1}{3 ln ( 5 )} u

Substitute back

u = 5^{x^{3}}

= \frac{1}{3 ln ( 5 )} \cdot 5^{x^{3}}

Add a constant to the solution

= \frac{1}{3 ln ( 5 )} \cdot 5^{x^{3}} + C

y = 4 sec (5 x)

\int_{0}^{3} \frac{1}{1 - x} d x

\frac{d}{d x} (sin (2 x + 1))

\frac{10 x}{1 + x ^{2}}

What is the integral of x^25^{x^3} ?
The integral of x^25^{x^3} is 1/(3ln(5))*5^{x^3}+C