JEE Main 2025 — Mathematics Calculus
Let f:R→R be a twice differentiable function such that (sinxcosy)(f(2x+2y)−f(2x−2y))=(cosx siny)(f(2x+2y)+f(2x−2y)), for all x,y∈R.
If f′(0)=21, then the value of 24f′′(35π) is:
Held on 2 Apr 2025 · Verified 6 Jul 2026.
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If $\int\left(\frac{1-5 \cos ^{2} x}{\sin ^{5} x \cos ^{2} x}\right) d x=f(x)+\mathrm{C}$, where C is the constant of integration, then $f\left(\frac{\pi}{6}\right)-f\left(\frac{\pi}{4}\right)$ is equal to
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