1.

फलन का x के सापेक्ष समाकलन कीजिए -`(1)/(1+cosx)`

Answer» Correct Answer - `-cotx -cosec x`
`int (1)/(1+cosx)dx =int {(1(1-cosx))/((1+cosx)(1-cosx))}dx`
`=int {(1-cosx)/(1-cos^(2)x)}dx=int (1-cosx)/(sin^(2)x)dx`
`=int cosec^(2)dx -int cosecx cotx dx`
`=-cotx -(-cosecx cotx dx `


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