What is the integral of 3/2 cos(x) ?

The integral of 3/2 cos(x) is 3/2 sin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/2 cos(x)

\int \frac{3}{2} cos (x) d x

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

Solution steps

\int \frac{3}{2} cos (x) d x

Take the constant out:

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

= \frac{3}{2} \cdot \int cos (x) d x

Use the common integral:

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

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

Add a constant to the solution

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

\int x^{3} - 6 x^{2} + 9 x + 6 d x

\int \frac{14 x - 46}{( x - 2 ) ( x - 5 )} d x

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

\int \frac{e ^{5 x} - 2 e ^{4 x} - 1}{e ^{4 x}} d x

\int e^{- (x - 8)^{3}} (x - 8)^{2} d x