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Given that and
MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals
Problem
Given that
G
′
(
x
)
=
(
1
2
)
tan
x
−
2
sech
2
x
G'(x)=\bigl(\frac{1}{2}\bigr)\tan x -2\,\text{sech}^2 x
G
′
(
x
)
=
(
2
1
)
tan
x
−
2
sech
2
x
and
G
(
0
)
=
3
G(0)=3
G
(
0
)
=
3
, find: (i)
G
(
x
)
G(x)
G
(
x
)
(ii)
G
(
π
4
)
G\!\bigl(\tfrac{\pi}{4}\bigr)
G
(
4
π
)
Related theory
Antiderivatives
Standard trigonometric integrals
Integrals of standard functions
Integrals
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