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The value of integral ∫x n-1 sin(x n )dx is: (where n is an integer)
Put x^n = tHencen* x^(n-1) dx = dtNowx ^(n-1) dx = dt/nThen your question becomes asSin t dt/nOn integratingAnswer is(1/n)(-cos t) + CNow put the value of tHence final anwer will be(1/n) ( -cos (x^n)) + C
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