New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Indefinite Integrals question

2019 · 8 Apr · Shift 2 · Q45

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

PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2019 · 8 Apr · Shift 2 · Q45

Indefinite Integrals question

2019 · 8 Apr · Shift 2 · Q45

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{dx} \over {{x^3}{{(1 + {x^6})}^{2/3}}}} = xf(x){{(1 + {x^6})}^{{1 \over 3}}} + C}

where C is a constant of integration, then the function ƒ(x) is equal to

A
${3 \over {{x^2}}}$
B
$- {1 \over {6{x^3}}}$
C
$- {1 \over {2{x^3}}}$
D
$- {1 \over {2{x^2}}}$

More from Indefinite Integrals

The integral $\int se c^{2/3} x cose c^{4/3} x dx$ is equal to (Hence C is a constant of integration)2019 · MCQ
$\int e^{s e c x} (sec x tan x f (x) + sec x tan x + se x^{2} x) d x$ = esecxf(x) + C then a possible choice of f(x) is :-2019 · MCQ
For x2 $e$ n $π$ + 1, n $\in$ N (the set of natural numbers), the integral $\int x \frac{2 s i n ( x ^{2} - 1 ) - s i n 2 ( x ^{2} - 1 )}{2 s i n ( x ^{2} - 1 ) + s i n 2 ( x ^{2} - 1 )} d x$ is equal to : (where c is a constant of integration)2019 · MCQ
If $f (x) = \int \frac{5 x ^{8} + 7 x ^{6}}{( x ^{2} + 1 + 2 x ^{7} ) ^{2}} d x, (x \geq 0), f (0) = 0,$ then the value of $f (1)$ is :2019 · MCQ
If $\int \frac{d x}{( x ^{2} - 2 x + 10 ) ^{2}} = A (tan^{- 1} (\frac{x - 1}{3}) + \frac{f ( x )}{x ^{2} - 2 x + 10}) + C$ where C is a constant of integration then :2019 · MCQ
If $\int x^{5} e^{- x^{2}} d x = g (x) e^{- x^{2}} + c$ , where c is a constant of integration, then $g$ (–1) is equal to :2019 · MCQ
Let n $\geq$ 2 be a natural number and $0 < θ < \frac{π}{2} .$ Then $\int \frac{( s i n ^{n} θ - s i n θ ) ^{1/ n} c o s θ}{s i n ^{n + 1} θ} d θ$ is equal to - (where C is a…2019 · MCQ
If $\int$ x5.e $-$ 4x3 dx = $\frac{1}{48}$ e $-$ 4x3 f(x) + C, where C is a constant of inegration, then f(x) is equal to -2019 · MCQ