Some tricky and important integrations questions you should try to solve for Competitive exams

Introduction

Integration is just reverse of differentiation so you must have to learn some basic integration formulas.

here the questions we are going to discuss are tricky by look but believe me these are simple enough if notice them carefully 

   1) Lets start with some light one first



First try with yourself if you find hard then here is the Answer


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2)Evaluate
This question is also looking simple by look but most of the students did mistake in the solution by converting the given term into sin or cos but the simple step is to  rationalize and after rationalize you will get a better way to the answer








Here is the Answer But always try from yourself

=
=

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3) Evaluate

In this question you have to take the longest chain as T and then diffrentiate it both sides w.r.t x

and then you will obtain a relation of substitution





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This is part 1 Part 2 will be shared soon 
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