New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2017 · 9 Apr · Shift 1 · Q45

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2017 · 9 Apr · Shift 1 · Q45

Definite Integration question

2017 · 9 Apr · Shift 1 · Q45

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}},

then k is equal to :

A
1
B
2
C
3
D
4

More from Definite Integration

The integral $\frac{π}{4} \int \frac{3 π}{4} \frac{d x}{1 + c o s x}$ is equal to2017 · MCQ
If $2 0 \int 1 tan^{- 1} x d x = 0 \int 1 cot^{- 1} (1 - x + x^{2}) d x,$ then $0 \int 1 tan^{- 1} (1 - x + x^{2}) d x$ is equalto :2016 · MCQ
For x $\in$ R, x $e$ 0, if y(x) is a differentiable function such that x $1 \int x y$ (t) dt = (x + 1) $1 \int x t y$ (t) dt, then y (x) equals : (where C is a constant.)2016 · MCQ
The value of the integral $4 \int 10 \frac{[ x ^{2} ] d x}{[ x ^{2} - 28 x + 196 ] + [ x ^{2} ]},$ where [x] denotes the greatest integer less than or equal to x, is :2016 · MCQ
The integral $2 \int 4 \frac{l o g x ^{2}}{l o g x ^{2} + l o g ( 36 - 12 x + x ^{2} )} d x$ is equal to :2015 · MCQ
The integral $0 \int π 1 + 4 sin^{2} \frac{x}{2} - 4 sin \frac{x}{2} d x$ equals:2014 · MCQ
Statement-1 : The value of the integral $π /6 \int π /3 \frac{d x}{1 + t a n x}$ is equal to $π /6$ Statement-2 : $a \int b f (x) d x = a \int b f (a + b - x) d x .$ …2013 · MCQ
If $g (x) = 0 \int x cos 4 t d t,$ then $g (x + π)$ equals2012 · Multiple correct