JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \,\,\frac{{dx}}{{\left( {x\,\, + \,\,100} \right)\,\,\sqrt {x\,\, + \,\,99} }} = f\,\,\left( x \right)\,\, + \,\,c

, then

f\,\,\left( x \right)

View answer and explanation

Correct option: C

2\,\,{\tan ^{ - 1}}\,\,\left( {\sqrt {x + 99} } \right)

Option C is correct because after performing the substitution, the integral is simplified to a standard arctangent form, leading to the given result.

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