1
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The integral $$\int\limits_1^2 {{e^x}.{x^x}\left( {2 + {{\log }_e}x} \right)} dx$$ equals :
A
e(4e + 1)
B
e(2e – 1)
C
e(4e – 1)
D
4e2 – 1
2
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region enclosed
by the curves y = x2 – 1 and y = 1 – x2 is equal to :
A
$${8 \over 3}$$
B
$${4 \over 3}$$
C
$${7 \over 2}$$
D
$${{16} \over 3}$$
3
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region
A = {(x, y) : |x| + |y| $$ \le $$ 1, 2y2 $$ \ge $$ |x|}
A
$${1 \over 6}$$
B
$${5 \over 6}$$
C
$${1 \over 3}$$
D
$${7 \over 6}$$
4
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
If I1 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$$ and
I2 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{101}}} dx$$ such
that I2 = $$\alpha $$I1 then $$\alpha $$ equals to :
A
$${{5051} \over {5050}}$$
B
$${{5050} \over {5051}}$$
C
$${{5050} \over {5049}}$$
D
$${{5049} \over {5050}}$$
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