New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Indefinite Integrals question

2019 · 12 Apr · Shift 1 · Q28

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

PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2019 · 12 Apr · Shift 1 · Q28

Indefinite Integrals question

2019 · 12 Apr · Shift 1 · Q28

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{2{x^3} - 1} \over {{x^4} + x}}} dx

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

A
${\log _e}{{\left| {{x^3} + 1} \right|} \over {{x^2}}} + C$
B
${1 \over 2}{\log _e}{{\left| {{x^3} + 1} \right|} \over {{x^2}}} + C$
C
${\log _e}\left| {{{{x^3} + 1} \over x}} \right| + C$
D
${1 \over 2}{\log _e}{{{{\left( {{x^3} + 1} \right)}^2}} \over {\left| {{x^3}} \right|}} + C$

More from Indefinite Integrals

Let $a \in (0, \frac{π}{2})$ be fixed. If the integral $\int \frac{t a n x + t a n α}{t a n x - t a n α} d x$ = A(x) cos 2 $α$ + B(x) sin 2 $α$ + C, where C is a constant of integration, then the…2019 · MCQ
The integral $\int$ cos(loge x) dx is equal to : (where C is a constant of integration)2019 · MCQ
The integral $\int \frac{3 x ^{13} + 2 x ^{11}}{( 2 x ^{4} + 3 x ^{2} + 1 ) ^{4}} d x$ is equal to : (where C is a constant of integration)2019 · MCQ
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