JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

Let

{I_n}\left( x \right) = \int\limits_0^x {\frac{1}{{{{\left( {{t^2} + 5} \right)}^2}}}dt,n = 1,2,3.........\,.}

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 results from applying integration by parts and simplifying the expression.

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