What is the integral of arcsin(x+2) ?

The integral of arcsin(x+2) is xarcsin(x+2)+sqrt(-x^2-4x-3)+2arcsin(x+2)+C

Popular >

integral of arcsin(x+2)

\int arcsin (x + 2) d x

x arcsin (x + 2) + - x^{2} - 4 x - 3 + 2 arcsin (x + 2) + C

Solution steps

\int arcsin (x + 2) d x

Apply Integration By Parts

: x arcsin (x + 2) - \int \frac{x}{- x ^{2} - 4 x - 3} d x

= x arcsin (x + 2) - \int \frac{x}{- x ^{2} - 4 x - 3} d x

\int \frac{x}{- x ^{2} - 4 x - 3} d x = - - x^{2} - 4 x - 3 - 2 arcsin (x + 2)

= x arcsin (x + 2) - (- - x^{2} - 4 x - 3 - 2 arcsin (x + 2))

Simplify

= x arcsin (x + 2) + - x^{2} - 4 x - 3 + 2 arcsin (x + 2)

Add a constant to the solution

= x arcsin (x + 2) + - x^{2} - 4 x - 3 + 2 arcsin (x + 2) + C

\frac{1}{s ^{3} - 2 s ^{2} + 3 s}

y = arcsinh (tan (x))

f (x) = x cos (x), at x = \frac{3 π}{2}

\int 4 sec (x) tan (x) d x

\frac{d}{d x} (\frac{13}{x})

What is the integral of arcsin(x+2) ?
The integral of arcsin(x+2) is xarcsin(x+2)+sqrt(-x^2-4x-3)+2arcsin(x+2)+C