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Let for . Compute and simplify your…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Let
A
(
t
)
=
∫
0
t
2
(
2
+
ln
(
1
+
s
)
)
d
s
A(t)=\displaystyle \int_{0}^{t^{2}}\bigl(2+\ln(1+s)\bigr)\,ds
A
(
t
)
=
∫
0
t
2
(
2
+
ln
(
1
+
s
)
)
d
s
for
t
>
0
t>0
t
>
0
. Compute
A
′
(
t
)
A'(t)
A
′
(
t
)
and simplify your answer.
Related theory
Advanced Differentiation
Accumulation Concepts
Fundamental theorem of calculus
First fundamental theorem of calculus
Integrals
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