New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2019 · 10 Jan · Shift 2 · Q34

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 10 Jan · Shift 2 · Q34

Definite Integration question

2019 · 10 Jan · Shift 2 · Q34

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4}}} ,

where [t] denotes the greatest integer less than or equal to t, is

A
${1 \over {12}}\left( {7\pi - 5} \right)$
B
${1 \over {12}}\left( {7\pi + 5} \right)$
C
${3 \over {10}}\left( {4\pi - 3} \right)$
D
${3 \over {20}}\left( {4\pi - 3} \right)$

More from Definite Integration

The value of the integral $- 2 \int 2 \frac{s i n ^{2} x}{[ \frac{x}{π} ] + \frac{1}{2}} d x$ (where [x] denotes the greatest integer less than or equal to x) is2019 · MCQ
The integral $π /6 \int π /4 \frac{d x}{s i n 2 x ( t a n ^{5} x + c o t ^{5} x )}$ equals :2019 · MCQ
If $0 \int π /2 \frac{cot x}{cot x + csc x} d x = m (π + n)$ , then $m \cdot n$ is equal to2019 · MCQ
Let f : R $\to$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $\frac{1}{48}$ . If $6 \int f (x) 4 t^{3} d t$ = (x - 2)g(x), then $x \to 2 lim g (x)$ is…2019 · MCQ
A value of $α$ such that $α \int α + 1 \frac{d x}{( x + α ) ( x + α + 1 )} = lo g_{e} (\frac{9}{8})$ is :2019 · MCQ
Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $0 \int a$ f(x) g(x) dx is equal to :2019 · MCQ
The integral $1 \int e {(\frac{x}{e})^{2 x} - (\frac{e}{x})^{x}}$ loge x dx is equal to :2019 · MCQ
The value of the integral $- \frac{π}{2} \int \frac{π}{2} sin^{4} x (1 + lo g (\frac{2 + s i n x}{2 - s i n x})) d x$ is :2018 · MCQ