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Suppose , then the value of…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Suppose
∫
1
−
7
cos
2
x
sin
7
x
cos
2
x
d
x
=
g
(
x
)
sin
7
x
+
c
\int \frac{1-7\cos^2 x}{\sin^7 x\cos^2 x}\,dx = \frac{g(x)}{\sin^7 x} + c
∫
s
i
n
7
x
c
o
s
2
x
1
−
7
c
o
s
2
x
d
x
=
s
i
n
7
x
g
(
x
)
+
c
, then the value of
g
′
(
0
)
+
g
′
′
(
π
4
)
g'(0) + g''\left(\frac{\pi}{4}\right)
g
′
(
0
)
+
g
′′
(
4
π
)
is: (a) 3 (b) 4 (c) 5 (d) 6
Related theory
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