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Calculate the average value of on the interval .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Calculate the average value of
f
(
x
)
=
x
(
tan
−
1
x
)
f(x)=x\bigl(\tan^{-1}x\bigr)
f
(
x
)
=
x
(
tan
−
1
x
)
on the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
.
Related theory
Integration by Parts
Integration Techniques
Applications of Integration
Integrals
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