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Definite Integration question

2022 · 28 Jul · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 28 Jul · Shift 2 · Q29

Definite Integration question

2022 · 28 Jul · Shift 2 · Q29

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

I_{n}(x)=\int_{0}^{x} \frac{1}{\left(t^{2}+5\right)^{n}} d t, n=1,2,3, \ldots .

Then :

A
$50 I_{6}-9 I_{5}=x I_{5}^{\prime}$
B
$50 I_{6}-11 I_{5}=x I_{5}^{\prime}$
C
$50 I_{6}-9 I_{5}=I_{5}^{\prime}$
D
$50 I_{6}-11 I_{5}=I_{5}^{\prime}$

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