1

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 :2

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 -3

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)

4

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

If $$f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \,dx,\,\left( {x \ge 0} \right),$$

$$f\left( 0 \right) = 0,$$ then the value of $$f(1)$$ is :

$$f\left( 0 \right) = 0,$$ then the value of $$f(1)$$ is :

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

Number in Brackets after Paper Indicates No. of Questions

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