JEE Main Previous Year Question of Math with Solutions are available at eSaral. Practicing JEE Main Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas. eSaral helps the students in clearing and understanding each topic in a better way. eSaral is providing complete chapter-wise notes of Class 11th and 12th both for all subjects. Besides this, eSaral also offers NCERT Solutions, Previous year questions for JEE Main and Advance, Practice questions, Test Series for JEE Main, JEE Advanced and NEET, Important questions of Physics, Chemistry, Math, and Biology and many more. Download eSaral app for free study material and video tutorials.

Q. $\int_{0}^{\pi}[\cot x] d x,$ where $[.]$ denotes the greatest integer function, is equal to –
(1) –1 $
(2)-\frac{\pi}{2}$
(3) $\frac{\pi}{2}$
(4) 1

**[AIEEE-2009]**
Q. Let p(x) be a function defined on R such that p'(x) = p'(1 – x), for all x $\in$0, 1], p(0) = 1 and p(1) = 41. Then $\int_{0}^{1}$ p(x) dx equals :-
(1) $\sqrt{41}$
(2) 21
(3) 41
(4) 42

**[AIEEE-2010]**
Q. The value of $\int_{0}^{1} \frac{8 \log (1+x)}{1+x^{2}} d x$ is :-
(1) $\frac{\pi}{2} \log 2$
(2) $\log 2$
(3) $\pi \log 2$
(4) $\frac{\pi}{8} \log 2$

**[AIEEE-2011]**
Q. Let [.] denote the greatest integet function then the value of $\int_{0}^{1.5} \mathrm{x}\left[\mathrm{x}^{2}\right] \mathrm{dx}$ is :-
( 1)$\frac{5}{4}$ (2) 0 (3) $\frac{3}{2}$ (4) $\frac{3}{4}$

**[AIEEE-2011]**
Q. If $\mathrm{g}(\mathrm{x})=\int_{0}^{\mathrm{x}} \cos 4 \mathrm{t} \mathrm{dt},$ then $\mathrm{g}(\mathrm{x}+\pi)$ equals :
(1) $\mathrm{g}(\mathrm{X}) \cdot \mathrm{g}(\pi)$
(2) $\frac{\mathrm{g}(\mathrm{x})}{\mathrm{g}(\pi)}$
(3) $\mathrm{g}(\mathrm{x})+\mathrm{g}(\pi)$
(4) $\mathrm{g}(\mathrm{x})-\mathrm{g}(\pi)$

**[AIEEE-2012]****Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...**

**Sol.**(3,4)

Q.

**Statement-I :**The value of the integral $\int_{\pi / 6}^{\pi / 3} \frac{\mathrm{dx}}{1+\sqrt{\tan \mathrm{x}}}$ is equal to $\frac{\pi}{6}$**Statement-II**: $\int_{a}^{b} f(x) d x-\int_{a}^{b} f(a+b-x) d x$ (1) Statement-I is true, Statement-II is true; Statement-II is a**correct**explanation for Statement- I. (2) Statement-I is true, Statement-II is true; Statement-II is**not**a correct explanation for Statement-I. (3) Statement-I is true, Statement-II is false. (4) Statement-I is false, Statement-II is true.**[JEE-MAIN-2013]**
Q. The integral $\int_{0}^{\pi} \sqrt{1+4 \sin ^{2} \frac{x}{2}-4 \sin \frac{x}{2}} d x$ equals :
(1) $\pi-4$
(2) $\frac{2 \pi}{3}-4-4 \sqrt{3}$
(3) $4 \sqrt{3}-4$
(4) $4 \sqrt{3}-4-\frac{\pi}{3}$

**[JEE-MAIN-2014]**
Q. The integral $\int_{2}^{4} \frac{\log x^{2}}{\log x^{2}+\log \left(36-12 x+x^{2}\right)} d x$ is equal to :
(1) 1 (2) 6 (3) 2 (4) 4

**[JEE-MAIN-2015]**
Q. The integral $\int_{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{dx}}{1+\cos x}$ is equal to :-
(1) –1 (2) –2 (3) 2 (4) 4

**[JEE-MAIN-2017]**
Q. The value of $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{\sin ^{2} x}{1+2^{x}} d x$ is :
( 1)$\frac{\pi}{2}$
(2) $4 \pi$
(3) $\frac{\pi}{4}$
(4) $\frac{\pi}{8}$

**[JEE-MAIN-2018]**
If there will be more questions

Than it will be much better

So increase the number of questions

😁😁🤘

Thanks to eSaral

Want more problems

sir can you put some latest years bits

IT IS USE FULL

it is very usefull

\

It is very much useful.. Thank you

Superb

Thanks

superb

An excellent work done by saral…it helped me alot…

Nice

Questions are good for revision