New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Indefinite Integrals question

2019 · 12 Jan · Shift 2 · Q42

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

PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2019 · 12 Jan · Shift 2 · Q42

Indefinite Integrals question

2019 · 12 Jan · Shift 2 · Q42

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{3{x^{13}} + 2{x^{11}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}} \,dx

is equal to : (where C is a constant of integration)

A
${{{x^{12}}} \over {6{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}}$ + $C$
B
${{{x^4}} \over {6{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C$
C
${{{x^{12}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C$
D
${{{x^4}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C$

More from Indefinite Integrals

If $f (\frac{x - 4}{x + 2}) = 2 x + 1,$ (x $\in$ R $-$ {1, } $-$ 2}), then $\int f (x) d x$ is equal to : (where C is a constant of integration)2018 · MCQ
If $\int \frac{2 x + 5}{7 - 6 x - x ^{2}} d x = A 7 - 6 x - x^{2} + B sin^{- 1} (\frac{x + 3}{4}) + C$ (where C is a constant of integration), then the ordered pair (A, B) is equal to :2018 · MCQ
If $\int \frac{t a n x}{1 + t a n x + t a n ^{2} x} d x = x - \frac{K}{A} tan^{- 1} (\frac{K t a n x + 1}{A}) + C, (C$ is a constant of integration) then the ordered pair (K, A) is equal to :2018 · MCQ
The integral $\int \frac{s i n ^{2} x c o s ^{2} x}{( s i n ^{5} x + c o s ^{3} x s i n ^{2} x + s i n ^{3} x c o s ^{2} x + c o s ^{5} x ) ^{2}} d x$ is equal to2018 · MCQ
The integral $\int 1 + 2 cot x (csc x + cot x) d x (0 < x < \frac{π}{2})$ is equal to : (where C is a constant of integration)2017 · MCQ
If f $(\frac{3 x - 4}{3 x + 4})$ = x + 2, x $e - \frac{4}{3}$ , and $\int$ f(x) dx = A log $∣$ 1 $-$ x $∣$ + Bx + C, then the ordered pair (A, B) is equal to : (where C is a…2017 · MCQ
Let $I_{n} = \int tan^{n} x d x, (n > 1) .$ If $I_{4} + I_{6}$ = $a tan^{5} x + b x^{5} + C$ , where C is a constant of integration, then the ordered pair $(a, b)$ is equal to2017 · MCQ
If $\int \frac{d x}{c o s ^{3} x 2 s i n 2 x} = (tan x)^{A} + C (tan x)^{B} + k,$ where k is a constant of integration, then A + B +C equals :2016 · MCQ