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Definite Integration · 2015 · Shift 2

4 Mathematics questions from this JEE Advanced paper

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PYQ Library
JEE Advanced
Papers
2015 · Shift 2
Mathematics
Definite Integration

Definite Integration · 2015 · Shift 2

4 Mathematics questions from this JEE Advanced paper

Q34.Let $f (x) = 7 tan^{8} x + 7 tan^{6} x - 3 tan^{4} x - 3 tan^{2} x$ for all $x \in (- \frac{π}{2}, \frac{π}{2}) .$ Then the correct expression(s) is (are)
Mathematics · Definite Integration · Multiple correct
Q35.The option(s) with the values of a and $L$ that satisfy the following equation is (are) $\frac{0 \int 4 π e ^{t} ( s i n ^{6} a t + c o s ^{4} a t ) d t}{0 \int π e ^{t} ( s i n ^{6} a t + c o s ^{4} a t ) d t} = L ?$ …
Mathematics · Definite Integration · Multiple correct
Q36.Let $f^{'} (x) = \frac{192 x ^{3}}{2 + s i n ^{4} π x}$ for all $x \in R$ with $f (\frac{1}{2}) = 0$ . If $m \leq 1/2 \int 1 f (x) d x \leq M,$ then the possible values of $m$ and…
Mathematics · Definite Integration · MCQ
Q39.If $α = 0 \int 1 (e^{9 x + 3 t a n^{- 1} x}) (\frac{12 + 9 x ^{2}}{1 + x ^{2}}) d x$ where $tan^{- 1} x$ takes only principal values, then the value of $(lo g_{e} ∣ 1 + α ∣ - \frac{3 π}{4})$ …
Mathematics · Definite Integration · Numerical