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Definite Integration · 2020 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2020 · Shift 2
Mathematics
Definite Integration

Definite Integration · 2020 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q25.Let b be a nonzero real number. Suppose f : R $\to$ R is a differentiable function such that f(0) = 1. If the derivative f' of f satisfies the equation $f^{'} (x) = \frac{f ( x )}{b ^{2} + x ^{2}}$ for all x $\in$ R, then which of the following…
Mathematics · Definite Integration · Multiple correct
Q35.Let $f : R \to R$ be a differentiable function such that its derivative f' is continuous and f( $π$ ) = $-$ 6. If $F : [0, π] \to R$ is defined by $F (x) = \int_{0}^{x} f (t) d t$ , and if $\int_{0}^{π} (f^{'} (x) + F (x)) cos x d x$ = 2 then the value…
Mathematics · Definite Integration · Numerical