Trigonometric Integral Evaluation (Jee Mains) | ExamDuo
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Basics and Substitution
Medium
Trigonometric Integral Evaluation
Let
α
∈
(
0
,
π
2
)
be fixed. If the integral
∫
tan
x
+
tan
α
tan
x
−
tan
α
d
x
=
A
(
x
)
cos
2
α
+
B
(
x
)
sin
2
α
+
C
where c is a constant of integration, then the functions A(x) and B(x) are respectively
Ask about this question
SELECT ONE OPTION
A
x
−
α
and
log
e
|
cos
(
x
−
α
)
|
B
x
−
α
and
log
e
|
sin
(
x
−
α
)
|
C
x
+
α
and
log
e
|
sin
(
x
+
α
)
|
D
x
+
α
and
log
e
|
sin
(
x
−
α
)
|
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