Скачать или смотреть A Definite Integration Problem with Infinite Series Twist | JEE ADVANCED 2026 | Question of the Day

A Definite Integration Problem with Infinite Series Twist | JEE ADVANCED 2026 | Question of the Day

In this video, we solve a challenging Definite Integration problem that beautifully combines infinite series with calculus.

Question:
S_n = \frac{1}{1^n} + \frac{1}{3^n} + \frac{1}{5^n} + \ldots \infty,
and
\int_0^1 \frac{x(\ln x)^2}{1 - x^4} \, dx = m S_3.
Find the value of m.

A clean but tricky problem where series expansion meets definite integration.

👉 Watch till the end for the full solution!

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