What is the integral of arcsin(6x) ?

The integral of arcsin(6x) is xarcsin(6x)+1/6 sqrt(1-36x^2)+C

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integral of arcsin(6x)

\int arcsin (6 x) d x

x arcsin (6 x) + \frac{1}{6} 1 - 36 x^{2} + C

Solution steps

\int arcsin (6 x) d x

Apply Integration By Parts

: x arcsin (6 x) - \int \frac{6 x}{1 - 36 x ^{2}} d x

= x arcsin (6 x) - \int \frac{6 x}{1 - 36 x ^{2}} d x

\int \frac{6 x}{1 - 36 x ^{2}} d x = - \frac{1}{6} 1 - 36 x^{2}

= x arcsin (6 x) - (- \frac{1}{6} 1 - 36 x^{2})

Simplify

= x arcsin (6 x) + \frac{1}{6} 1 - 36 x^{2}

Add a constant to the solution

= x arcsin (6 x) + \frac{1}{6} 1 - 36 x^{2} + C

(3, 1), (0, - 2)

5 \cdot 2^{t - 2}

n = 4 \sum \infty e^{7 - 4 n}

What is the integral of arcsin(6x) ?
The integral of arcsin(6x) is xarcsin(6x)+1/6 sqrt(1-36x^2)+C