1

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

The integral $$\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}} $$ is equal to :

(where C is a constant of integration)

(where C is a constant of integration)

2

JEE Main 2020 (Online) 8th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$\int {{{\cos xdx} \over {{{\sin }^3}x{{\left( {1 + {{\sin }^6}x} \right)}^{2/3}}}}} = f\left( x \right){\left( {1 + {{\sin }^6}x} \right)^{1/\lambda }} + c$$

where c is a constant of integration, then $$\lambda f\left( {{\pi \over 3}} \right)$$ is equal to

where c is a constant of integration, then $$\lambda f\left( {{\pi \over 3}} \right)$$ is equal to

3

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral

$$\int {{{\tan x + \tan \alpha } \over {\tan x - \tan \alpha }}} dx$$ = A(x) cos 2$$\alpha $$ + B(x) sin 2$$\alpha $$ + C, where C is a

constant of integration, then the functions A(x) and B(x) are respectively :

$$\int {{{\tan x + \tan \alpha } \over {\tan x - \tan \alpha }}} dx$$ = A(x) cos 2$$\alpha $$ + B(x) sin 2$$\alpha $$ + C, where C is a

constant of integration, then the functions A(x) and B(x) are respectively :

4

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

The integral $$\int {{{2{x^3} - 1} \over {{x^4} + x}}} dx$$ is equal to :

(Here C is a constant of integration)

(Here C is a constant of integration)

Questions Asked from Indefinite Integrals (MCQ (Single Correct Answer))

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