Mathematics

# If $\int _{ 0 }^{ 100 }{ f\left( x \right) dx=a }$, then $\sum _{ r=1 }^{ 100 }{ \int _{ 0 }^{ 1 }{ (f\left( r-1+x \right) dx) } }$=

$a$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 114

#### Realted Questions

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The value of $\displaystyle \frac{\left ( \sqrt{2}+1 \right )198}{\pi }\int_{\pi /4}^{3\pi /4}\displaystyle \frac{\phi }{1 + \sin \phi }\:d\phi$ is

1 Verified Answer | Published on 17th 09, 2020

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Given that for each $\displaystyle a \in (0, 1), \lim_{h \rightarrow 0^+} \int_h^{1-h} t^{-a} (1 -t)^{a-1}dt$ exists. Let this limit be $g(a)$
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