1
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
The integral $${{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}} $$ is equal to ____________.
Your input ____
2
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1
Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then $$\int\limits_{ - 6}^0 {f(x)dx} $$ is equal to __________.
Your input ____
3
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1
The value of the integral
$${{48} \over {{\pi ^4}}}\int\limits_0^\pi {\left( {{{3\pi {x^2}} \over 2} - {x^3}} \right){{\sin x} \over {1 + {{\cos }^2}x}}dx} $$ is equal to __________.
Your input ____
4
JEE Main 2022 (Online) 25th June Evening Shift
Numerical
+4
-1
The value of b > 3 for which $$12\int\limits_3^b {{1 \over {({x^2} - 1)({x^2} - 4)}}dx = {{\log }_e}\left( {{{49} \over {40}}} \right)} $$, is equal to ___________.
Your input ____
Questions Asked from Definite Integration (Numerical)
Number in Brackets after Paper Indicates No. of Questions
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