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Definite Integration · 2022 · 28 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2022 · 28 Jun · Shift 2
Mathematics
Definite Integration

Definite Integration · 2022 · 28 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

Q28.Let f : R $\to$ R be a differentiable function such that $f (\frac{π}{4}) = 2, f (\frac{π}{2}) = 0$ and $f^{'} (\frac{π}{2}) = 1$ and let $g (x) = \int_{x}^{π /4} (f^{'} (t) sec t + tan t sec t f (t)) d t$ …
Mathematics · Definite Integration · MCQ
Q29.Let f : R $\to$ R be a continuous function satisfying f(x) + f(x + k) = n, for all x $\in$ R where k > 0 and n is a positive integer. If $I_{1} = 0 \int 4 nk f (x) d x$ and $I_{2} = - k \int 3 k f (x) d x$ , then :
Mathematics · Definite Integration · MCQ