JEE Main 2019 (Online) 9th January Evening Slot | Definite Integrals and Applications of Integrals Question 242 | Mathematics

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

The area of the region

A = {(x, y) : 0 $$ \le $$ y $$ \le $$x |x| + 1 and $$-$$1 $$ \le $$ x $$ \le $$1} in sq. units, is :

$${2 \over 3}$$

$${4 \over 3}$$

$${1 \over 3}$$

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

If $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),$$ then value of k is :

$${1 \over 2}$$

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :

$$4 \over 3$$

$$-$$ $$4 \over 3$$

$$2 \over 3$$

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

The area (in sq. units) bounded by the parabolae y = x² – 1, the tangent at the point (2, 3) to it and the y-axis is :

$$56\over3$$

$$32\over3$$

$$8\over3$$

$$14\over3$$

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