18. what is integration of x sin inverse x

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Q. We know that differentiation is the inverse process of integration. If we take an example of sin x + 6, its differentiation is cos x. However, if we integrate cos x, we get sin x. Explain.

y = s i n^{- 1} (x)

is the inverse of the function y=sin(x).

If $a = s i n \frac{π}{18} s i n \frac{5 π}{18} s i n \frac{7 π}{18}$ , and $x$ is the solution of the equation. $y = 2 [x] + 2$ and $y = 3 [x - 2]$ , where [x] denotes the integral part of x, then ‘a’ is equal to

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