What is the integral of 7arcsin(x) ?

The integral of 7arcsin(x) is 7(xarcsin(x)+sqrt(1-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 7arcsin(x)

\int 7 arcsin (x) d x

7 (x arcsin (x) + 1 - x^{2}) + C

Solution steps

\int 7 arcsin (x) d x

Take the constant out:

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

= 7 \cdot \int arcsin (x) d x

Apply Integration By Parts

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

= 7 (x arcsin (x) - \int \frac{x}{1 - x ^{2}} d x)

\int \frac{x}{1 - x ^{2}} d x = - 1 - x^{2}

= 7 (x arcsin (x) - (- 1 - x^{2}))

Simplify

= 7 (x arcsin (x) + 1 - x^{2})

Add a constant to the solution

= 7 (x arcsin (x) + 1 - x^{2}) + C

\frac{d}{d x} ((\frac{x ^{2} + 3}{x ^{2} - 3})^{5})

\int cos^{18} (x) sin (x) d x

- 5 (7 x^{2} + 4)^{- 6}

z \to 10 lim (\frac{1}{z - 10})

\int arccos (\frac{1}{x}) d x

What is the integral of 7arcsin(x) ?
The integral of 7arcsin(x) is 7(xarcsin(x)+sqrt(1-x^2))+C