Definite IntegrationHard

Question

For n ∈ N, the value of the definite integral dx where < V < π is -

Options

A.2n + 1 - cosV
B.2n - sinV
C.2n + 2 - sinV
D.2n + 1 - sinV

Solution

dx =  | cos x | dx
= | cos x | dx + | cos x | dx
= | cos x | dx + | cos x | dx
= 2n + cos x dx - cos x  dx = 2n + 2 - sin V

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