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WBJEE 2019 Math Solved Paper
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© examsnet.com
Question : 15
Total: 75
If ∫
2
2
x
.2
x
dx = A.
2
2
x
+ c , then A =
1
log
2
log 2
(
log
2
)
2
1
(
log
2
)
2
Validate
Solution:
(D)
I = ∫
2
2
x
.2
x
dx = ∫
2
2
x
.
(
2
x
ln
2
)
×
(
ln
2
)
(
ln
2
)
2
dx
put
2
2
x
= t ⇒
(
2
2
x
ln
2
)
.
(
2
x
ln
2
)
= dt
⇒ I = ∫
d
t
(
ln
2
)
2
=
t
(
ln
2
)
2
+ c =
2
2
x
(
ln
2
)
2
+ c
A =
1
(
log
)
2
© examsnet.com
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