Question
Question: \(\tan^{- 1}(\tan^{2}x) + c\)...
tan−1(tan2x)+c
A
cot−1(cot2x)+c
B
tan−1(cot2x)+c
C
∫x(2logx−x)x−2dx=
D
log(2logx−x)+c
Answer
cot−1(cot2x)+c
Explanation
Solution
Put 5cosx+c then
−5cosx+c
5sinx+c
tan−1(tan2x)+c
cot−1(cot2x)+c
tan−1(cot2x)+c
∫x(2logx−x)x−2dx=
log(2logx−x)+c
cot−1(cot2x)+c
Put 5cosx+c then
−5cosx+c
5sinx+c