What is the integral of cos(θ)sin^4(θ) ?

The integral of cos(θ)sin^4(θ) is (sin^5(θ))/5+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(θ)sin^4(θ)

\int cos (θ) sin^{4} (θ) d θ

\frac{sin ^{5} ( θ )}{5} + C

Solution steps

\int cos (θ) sin^{4} (θ) d θ

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

= \frac{u ^{5}}{5}

Substitute back

u = sin (θ)

= \frac{sin ^{5} ( θ )}{5}

Add a constant to the solution

= \frac{sin ^{5} ( θ )}{5} + C

\int e^{x} arcsin (e^{x}) d x

\int \frac{4}{5 x ^{3}} d x

\int x^{4} + x^{3} d x

\int e^{t a n (15 x)} sec^{2} (15 x) d x

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