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Let f (x) = x cos x, x in [(3pi)/(2), 2p...

Let `f (x) = x cos x, x in [(3pi)/(2), 2pi] and g (x) ` be its inverse. If `int _(0)^(2pi)g (x) dx = api ^(2) + beta pi+ gamma,` where ` alpha, beta and gamma in R,` then find the value of `2 (alpha + beta+ gamma).`

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VIKAS GUPTA (BLACK BOOK)-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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