Mathematics Calculus questions from JEE Advanced 2026.
The value of lim(x→0) (sin x)/x is:
If ∫₀^1 (x⁴(1-x)⁴)/(1+x²) dx = 22/7 - π, find the value of 7∫₀^1 (x⁴(1-x)⁴)/(1+x²) dx + 7π rounded to nearest integer.