1
JEE Main 2021 (Online) 20th July Morning Shift
Numerical +4 -1
Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = $$\sqrt 5 $$ is $$\alpha$$$$\sqrt 5 $$ + $$\beta$$ + $$\gamma$$ cos$$-$$1$$\left( {{1 \over {\sqrt 5 }}} \right)$$, then |$$\alpha$$ + $$\beta$$ + $$\gamma$$| is equal to ______________.
Your input ____
2
JEE Main 2021 (Online) 18th March Evening Shift
Numerical +4 -1
Let P(x) be a real polynomial of degree 3 which vanishes at x = $$-$$3. Let P(x) have local minima at x = 1, local maxima at x = $$-$$1 and $$\int\limits_{ - 1}^1 {P(x)dx} $$ = 18, then the sum of all the coefficients of the polynomial P(x) is equal to _________.
Your input ____
3
JEE Main 2021 (Online) 18th March Morning Shift
Numerical +4 -1
Let f(x) and g(x) be two functions satisfying f(x2) + g(4 $$-$$ x) = 4x3 and g(4 $$-$$ x) + g(x) = 0, then the value of $$\int\limits_{ - 4}^4 {f{{(x)}^2}dx} $$ is
Your input ____
4
JEE Main 2021 (Online) 17th March Evening Shift
Numerical +4 -1
Let $${I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dx$$, where n$$\in$$N. If (20)I10 = $$\alpha$$I9 + $$\beta$$I8, for natural numbers $$\alpha$$ and $$\beta$$, then $$\alpha$$ $$-$$ $$\beta$$ equals to ___________.
Your input ____
Questions Asked from Definite Integrals and Applications of Integrals (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2022 (Online) 28th July Evening Shift (1) JEE Main 2022 (Online) 28th July Morning Shift (1) JEE Main 2022 (Online) 27th July Evening Shift (2) JEE Main 2022 (Online) 26th July Morning Shift (2) JEE Main 2022 (Online) 25th July Evening Shift (2) JEE Main 2022 (Online) 25th July Morning Shift (1) JEE Main 2022 (Online) 30th June Morning Shift (2) JEE Main 2022 (Online) 29th June Evening Shift (1) JEE Main 2022 (Online) 27th June Evening Shift (1) JEE Main 2022 (Online) 27th June Morning Shift (1) JEE Main 2022 (Online) 26th June Evening Shift (1) JEE Main 2022 (Online) 26th June Morning Shift (2) JEE Main 2022 (Online) 25th June Evening Shift (1) JEE Main 2022 (Online) 24th June Evening Shift (1) JEE Main 2022 (Online) 24th June Morning Shift (3) JEE Main 2021 (Online) 31st August Evening Shift (1) JEE Main 2021 (Online) 31st August Morning Shift (2) JEE Main 2021 (Online) 26th August Evening Shift (1) JEE Main 2021 (Online) 26th August Morning Shift (1) JEE Main 2021 (Online) 27th July Evening Shift (1) JEE Main 2021 (Online) 27th July Morning Shift (1) JEE Main 2021 (Online) 25th July Evening Shift (1) JEE Main 2021 (Online) 22th July Evening Shift (1) JEE Main 2021 (Online) 20th July Morning Shift (1) JEE Main 2021 (Online) 18th March Evening Shift (1) JEE Main 2021 (Online) 18th March Morning Shift (1) JEE Main 2021 (Online) 17th March Evening Shift (2) JEE Main 2021 (Online) 17th March Morning Shift (1) JEE Main 2021 (Online) 16th March Morning Shift (3) JEE Main 2021 (Online) 26th February Evening Shift (2) JEE Main 2021 (Online) 26th February Morning Shift (2) JEE Main 2021 (Online) 25th February Evening Shift (1) JEE Main 2021 (Online) 25th February Morning Shift (1) JEE Main 2021 (Online) 24th February Morning Shift (1) JEE Main 2020 (Online) 4th September Evening Slot (1) JEE Main 2020 (Online) 2nd September Evening Slot (1) JEE Main 2020 (Online) 2nd September Morning Slot (1) JEE Main 2020 (Online) 8th January Evening Slot (1)