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Definite Integration · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

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2021 · 27 Jul · Shift 1
Mathematics
Definite Integration

Definite Integration · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

Q25.The value of the definite integral $- \frac{π}{4} \int \frac{π}{4} \frac{d x}{( 1 + e ^{x c o s x} ) ( s i n ^{4} x + c o s ^{4} x )}$ is equal to :
Mathematics · Definite Integration · MCQ
Q42.Let the domain of the function $f (x) = lo g_{4} (lo g_{5} (lo g_{3} (18 x - x^{2} - 77)))$ be (a, b). Then the value of the integral $a \int b \frac{s i n ^{3} x}{( s i n ^{3} x + s i n ^{3} ( a + b - x )} d x$ …
Mathematics · Definite Integration · Numerical
Q44.Let $F : [3, 5] \to R$ be a twice differentiable function on (3, 5) such that $F (x) = e^{- x} 3 \int x (3 t^{2} + 2 t + 4 F^{'} (t)) d t$ . If $F^{'} (4) = \frac{α e ^{β} - 224}{( e ^{β} - 4 ) ^{2}}$ , then $α$ + $β$ is…
Mathematics · Definite Integration · Numerical