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Definite Integration · 2022 · 27 Jun · Shift 2

3 Mathematics questions from this JEE Main paper

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2022 · 27 Jun · Shift 2
Mathematics
Definite Integration

Definite Integration · 2022 · 27 Jun · Shift 2

3 Mathematics questions from this JEE Main paper

Q25.If m and n respectively are the number of local maximum and local minimum points of the function $f (x) = 0 \int x^{2} \frac{t ^{2} - 5 t + 4}{2 + e ^{t}} d t$ , then the ordered pair (m, n) is equal to
Mathematics · Definite Integration · MCQ
Q26.Let f be a differentiable function in $(0, \frac{π}{2})$ . If $c o s x \int 1 t^{2} f (t) d t = sin^{3} x + cos x$ , then $\frac{1}{3} f^{'} (\frac{1}{3})$ is equal to
Mathematics · Definite Integration · MCQ
Q27.The integral $0 \int 1 \frac{1}{7 ^{[\frac{1}{x}]}} d x$ , where [ . ] denotes the greatest integer function, is equal to
Mathematics · Definite Integration · MCQ