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

The integral of cos(3/2)x is 1/2 cos(3/2)x^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(3/2)x

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

\frac{1}{2} cos (\frac{3}{2}) x^{2} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{2}}{2}

= cos (\frac{3}{2}) \frac{x ^{2}}{2}

Simplify

cos (\frac{3}{2}) \frac{x ^{2}}{2} : \frac{1}{2} cos (\frac{3}{2}) x^{2}

= \frac{1}{2} cos (\frac{3}{2}) x^{2}

Add a constant to the solution

= \frac{1}{2} cos (\frac{3}{2}) x^{2} + C

\int \frac{6 x + 1}{x ^{2} + 1} d x

\int sin (5 x) sin (9 x) d x

\int \frac{y ^{2} + 32 y + 256}{( y ^{2} + 256 ) ^{2}} d y

\int \frac{x - 1}{ln ( x )} d x

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

What is the integral of cos(3/2)x ?
The integral of cos(3/2)x is 1/2 cos(3/2)x^2+C