JEE Main 2019 (Online) 10th April Evening Slot | Definite Integrals and Applications of Integrals Question 220 | Mathematics

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JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

-1

The area (in sq.units) of the region bounded by the curves y = 2^x and y = |x + 1|, in the first quadrant is :

$${1 \over 2}$$

$${3 \over 2}$$

$${3 \over 2} - {1 \over {\log _e^2}}$$

$$\log _e^2 + {3 \over 2}$$

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

-1

The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :

$${3^{{5 \over 3}}} - {3^{{1 \over 3}}}$$

$${3^{{5 \over 6}}} - {3^{{2 \over 3}}}$$

$${3^{{4 \over 3}}} - {3^{{1 \over 3}}}$$

$${3^{{7 \over 6}}} - {3^{{5 \over 6}}}$$

JEE Main 2019 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

The value of $$\int\limits_0^{2\pi } {\left[ {\sin 2x\left( {1 + \cos 3x} \right)} \right]} dx$$,
where [t] denotes the greatest integer function is :

2$$\pi $$

$$\pi $$

-2$$\pi $$

-$$\pi $$

JEE Main 2019 (Online) 9th April Evening Slot

MCQ (Single Correct Answer)

-1

The value of the integral $$\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx} $$ is :-

$${\pi \over 2} - {1 \over 2}{\log _e}2$$

$${\pi \over 4} - {\log _e}2$$

$${\pi \over 4} - {1 \over 2}{\log _e}2$$

$${\pi \over 2} - {\log _e}2$$

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