What is the integral of cos(x)sqrt(sin(x)+3) ?

The integral of cos(x)sqrt(sin(x)+3) is 2/3 (sin(x)+3)^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x)sqrt(sin(x)+3)

\int cos (x) sin (x) + 3 d x

\frac{2}{3} (sin (x) + 3)^{\frac{3}{2}} + C

Solution steps

\int cos (x) sin (x) + 3 d x

Apply u-substitution

= \int u d u

Apply the Power Rule

= \frac{2}{3} u^{\frac{3}{2}}

Substitute back

u = sin (x) + 3

= \frac{2}{3} (sin (x) + 3)^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} (sin (x) + 3)^{\frac{3}{2}} + C

\int \frac{sec ^{2} ( w )}{1 + tan ^{2} ( w )} d w

\int (2 x^{2} y) d y

\int \frac{x + 2}{x ^{2} + 4 x + 7} d x

\int \frac{1 + 4 x ^{2}}{x} d x

\int \frac{- 2}{7 x ^{4}} d x

What is the integral of cos(x)sqrt(sin(x)+3) ?
The integral of cos(x)sqrt(sin(x)+3) is 2/3 (sin(x)+3)^{3/2}+C