JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +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

View answer and explanation

Correct option: A

50 I_6-9 I_5=x I_5^{\prime}

Option A (

50 I_6-9 I_5=x I_5^{\prime}

) is correct because it is derived from integration by parts and simplification of the given integral

I_n(x)

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