1
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

The value of $$12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx} $$ is ____________

Your input ____
2
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

The value of $${8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos x)}^{2023}}}}dx} $$ is ___________

Your input ____
3
JEE Main 2022 (Online) 28th July Evening Shift
Numerical
+4
-1
Change Language

The value of the integral $$\int\limits_{0}^{\frac{\pi}{2}} 60 \frac{\sin (6 x)}{\sin x} d x$$ is equal to _________.

Your input ____
4
JEE Main 2022 (Online) 28th July Morning Shift
Numerical
+4
-1
Change Language

If $$\int\limits_{0}^{\sqrt{3}} \frac{15 x^{3}}{\sqrt{1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}}} \mathrm{~d} x=\alpha \sqrt{2}+\beta \sqrt{3}$$, where $$\alpha, \beta$$ are integers, then $$\alpha+\beta$$ is equal to __________.

Your input ____
JEE Main Subjects
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSAT
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN