What is sin(arccos(3x))dx ?

The solution to sin(arccos(3x))dx is dxsqrt(1-9x^2)

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simplify sin(arccos(3x))dx

simplify

sin (arccos (3 x)) d x

d x 1 - 9 x^{2}

Solution steps

sin (arccos (3 x)) d x

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

= 1 - (3 x)^{2} d x

1 - (3 x)^{2} = 1 - 9 x^{2}

= d x - 9 x^{2} + 1

\frac{y}{2 sec ( x + \frac{π}{2} )}

28 sin (150 π t + 0.1)

- sin (- t)

sin (a - \frac{π}{3})

cos (- \frac{π}{2} - θ)