What is the integral of cos(r)r ?

The integral of cos(r)r is rsin(r)+cos(r)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(r)r

\int cos (r) r d r

r sin (r) + cos (r) + C

Solution steps

\int cos (r) r d r

Apply Integration By Parts

: r sin (r) - \int sin (r) d r

= r sin (r) - \int sin (r) d r

\int sin (r) d r = - cos (r)

= r sin (r) - (- cos (r))

Simplify

= r sin (r) + cos (r)

Add a constant to the solution

= r sin (r) + cos (r) + C

\int x e^{x^{2}} (1 + x^{2}) d x

\int cos^{4} (x) sin^{1} (x) d x

\int \frac{25 x}{4 3 x ^{2} + 4} d x

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

\int \frac{20}{1 + 25 x ^{2}} d x