What is the integral of x^4cos(x^5+3) ?

The integral of x^4cos(x^5+3) is 1/5 sin(x^5+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^4cos(x^5+3)

\int x^{4} cos (x^{5} + 3) d x

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

Solution steps

\int x^{4} cos (x^{5} + 3) d x

Apply u-substitution

: \int \frac{cos ( u )}{5} d u

= \int \frac{cos ( u )}{5} d u

Take the constant out:

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

= \frac{1}{5} \cdot \int cos (u) d u

Use the common integral:

\int cos (u) d u = sin (u)

= \frac{1}{5} sin (u)

Substitute back

u = x^{5} + 3

= \frac{1}{5} sin (x^{5} + 3)

Add a constant to the solution

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

\int cot^{5} (\frac{3}{4}) x csc^{9} (\frac{3}{4}) x d x

\int tan^{2} (a x) d x

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

\int \frac{x ^{2} - 3 x + 5}{x ^{3}} d x

\int \frac{x}{( x ^{2} - 2 ) ^{3}} d x

What is the integral of x^4cos(x^5+3) ?
The integral of x^4cos(x^5+3) is 1/5 sin(x^5+3)+C