1

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

If $$\int {{{x + 1} \over {\sqrt {2x - 1} }}} \,dx$$ = f(x) $$\sqrt {2x - 1} $$ + C, where C is a constant of integration, then f(x) is equal to :

2

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$\int {{{\sqrt {1 - {x^2}} } \over {{x^4}}}} $$ dx = A(x)$${\left( {\sqrt {1 - {x^2}} } \right)^m}$$ + C, for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))

^{m}equals :3

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

If $$\int \, $$x

^{5}.e^{$$-$$4x3}dx = $${1 \over {48}}$$e^{$$-$$4x3}f(x) + C, where C is a constant of inegration, then f(x) is equal to -4

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let n $$ \ge $$ 2 be a natural number and $$0 < \theta < {\pi \over 2}.$$ Then $$\int {{{{{\left( {{{\sin }^n}\theta - \sin \theta } \right)}^{1/n}}\cos \theta } \over {{{\sin }^{n + 1}}\theta }}} \,d\theta $$ is equal to - (where C is a constant of integration)

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

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