MHT CET 2024 Mathematics question

Mathematics Indefinite Integration MHT CET 2024

The value of is

(A)log(sin x) – sin x + c, where c is a constant of integration.Correct
(B)log(sin x) – cos x + c, where c is a constant of integration.
(C)log(sin x)+ sin x + c, where c is a constant of integration.
(D)log(cos x) - cos x + c, where c is a constant of integration.

Answer: (A)

Solution

Write and put , . The integral becomes $dt=dt=dt=(1t-1)dt=

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Question ID VK-096899