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यदि int (1)/((sin x + 4)(sin x - 1))dx =...

यदि `int (1)/((sin x + 4)(sin x - 1))dx = A(1)/("tan"(x)/(2)-1)+B tan^(-1) (f(x)) + C`, तब

A

`A = (1)/(5), B = (-2)/(5 sqrt(15)),f(x) = (4 tan x + 3)/(sqrt(15))`

B

`A = - (1)/(5), B = (1)/(sqrt(15)),f(x) = (4 tan ((x)/(2))+1)/(sqrt(15))`

C

`A = (2)/(5), B = (-2)/(5),f(x) = (4 tan x + 1)/(5)`

D

`A = (2)/(5), B = (-2)/(5 sqrt(15)), f(x) = ("4 tan"(x)/(2) + 1)/(sqrt(15))`

लिखित उत्तर

Verified by Experts

The correct Answer is:
D
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