Indefinite Integration: Integral of 1 / [x √(1 + 1/x⁴)] dx | JEE Main & Advanced Maths
Siyesh IIT-JEE
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Indefinite Integration: Integral of 1 / [x √(1 + 1/x⁴)] dx | JEE Main & Advanced Maths
184 просмотра · 3 дн. назад
Siyesh IIT-JEE
781 подписчик
184 просмотра · 3 дн. назад
In this video, we solve a tricky indefinite integration problem step by step:
∫ 1 / [x √(1 + 1/x⁴)] dx
Learn how to simplify algebraic integrals using substitution method (putting t = √(1 + 1/x⁴)), converting to rational forms, applying partial fractions, and using logarithm properties to arrive at the final answer.
Topics covered:
Indefinite integral problem-solving technique
Smart substitution using square roots
Algebraic manipulation and simplification
Partial fractions and standard logarithmic integration
Essential calculus practice for JEE Main & JEE Advanced
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