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How do you simplify an integral that has log e x raised to fractional powers?🧐 In Day 13 of our 90-Day Masterclass, we break down a classic JEE Advanced Calculus problem(2022 Paper 1 Q9 ). Most students get stuck on the $(a - (\log_e x)^{3/2})^2$ term in the denominator, but with the right substitution, it becomes a simple power-rule problem. Inside this video: Substitution Masterclass: Why choosing $u = \log_e x$ (or even $u = (\log_e x)^{3/2}$) changes the game. Boundary Shifts: How to properly change your limits from $x \in [1, e]$ to your new variable. Evaluating $a$: Solving the final algebraic equation to determine if $a$ is an integer, irrational, or if it even exists. JEE Trap: Checking the given domain $a \in (-\infty, 0) \cup (1, \infty)$ against your calculated value. #JEEAdvanced #Calculus #DefiniteIntegration #IITJEE #Mathematics #90DayChallenge #Day13 #JEE2026 #MathShortcuts #IntegrationTricks 📅 THE CHALLENGE: 1 JEE Advanced PYQ every day until May 17, 2026. #JEEAdvanced #PhysicsPYQ #RelativeMotion #90DayChallenge #IIScAlumnus #Kinematics #JEE2026 JEE Advanced Physics, Relative Motion, Kinematics PYQ, JEE Advanced 2014, Plane Motion Physics, Relative Velocity Trick, 90 Day Challenge JEE, Qubit Educational Services, Pranesh Muddebihal, IISc Alumnus Physics, IAT Physics, NEST Exam Preparation. #JEEAdvanced #IITJEE #PhysicsMasterclass #Oscillations #JEEPhysics #IITPreparation #ConceptsCleared Concepts Building | | IISER | JEE #iiser_aptitude_test #qubiteducationalservices #iiser2024 #iiser2025 #iiser2026 #jeeadvanced #nationalentrancescreeningtest #niser #iiser2027 #IAT2026 #iat2027 #iat2028 #JEEAdvanced #IITJEE #MathsTricks #90DayChallenge #JEE2026 #Calculus #JEEMaths #PYQ #Education #StudyHack #Mechanics #IITJEE #WorkEnergy #CircularMotion #JEE2026 #physicssolutions Join the Concept Development Programme (CDP), specifically designed for JEE/IAT/ NEST! Write to us at qubitclasses@gmail.com or praneshm@alum.iisc.ac.in JEE Advanced PYQs Playlists Physics : • JEE Advanced Physics Solutions Maths : • JEE Advanced Mathematics Solutions IISER PYQs Playlists 2024 Maths and Physics : • IAT 2024 Solutions 2023 Maths and Physics : • IAT 2017 Solutions Physics 2022 Maths : • IISER Aptitude Test 2022 Set B Detailed So... 2022 Physics : • IAT 2022 Solutions Physics 2021 Maths : • IISER Aptitude Test 2021 | Mathematics Sol... 2021 Physics : • IAT 2021 Solutions Physics 2020 Maths : • IAT 2020 Solutions Maths 2020 Physics : • IAT 2020 Solutions Physics 2019 Maths : • IAT 2019 Solutions Maths 2019 Physics : • IAT 2019 Solutions Physics 2018 Maths : • IAT 2018 Solutions Maths 2018 Physics : • IAT 2018 Solutions Physics 2017 Maths : • IAT 2017 Solutions Maths 2017 Physics : • IAT 2018 Solutions Physics For doubts/ queries, you can reach us at qubitclasses@gmail.com Follow us on the following social media platforms to get regular updates : Are you passionate about science and its allied disciplines? Follow us on Instagram to know interesting stuff! 1) Instagram : / qubit_pune 2) Facebook : / qubitpune 3) Our Website : https://www.qubitpune.com 4) Twitter : / qubit_pune