WB JEE 2026 | Inverse Trigonometric Functions Question 10 | Mathematics

WB JEE 2026

MCQ (More than One Correct Answer)

-0

If $f(x)=x\left(1331 x^2-3630 x+3300\right)$, then for $a=\cos ^2\left(\tan ^{-1}\left(\sin \left(\cot ^{-1} 3\right)\right)\right)$

$f(a+1)=2331$

$f^{\prime}(a)=11$

$\mathop {\lim }\limits_{x \to a}f(x)=1000$

$\int_0^a(f(x)-1000) d x=\frac{2500}{11}$

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