`int e^(x)((2 tanx)/(1+tanx)+cot^(2)(x+(pi)/(4)))dx` is equal to
`int e^(x)((2 tanx)/(1+tanx)+cot^(2)(x+(pi)/(4)))dx` is equal to
A. `e^(x)tan((pi)/(4)-x)+c`
B. `e^(x)tan(x-(pi)/(4))+c`
C. `e^(x)tan((3pi)/(4)-x)+c`
D. none of these
4 views
1 Answers
Correct Answer - B
Putting `x^(2)=t,`
`int e^(x)((2 tanx)/(1+tanx)+tan^(2)(x-(pi)/(4)))dx`
`=int e^(x)(tan(x-(pi)/(4))+sec^(2)(x-(pi)/(4)))dx`
`=e^(x)tan(x-(pi)/(4))+C`
4 views
Answered