WB JEE 2010 | Definite Integration Question 19 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $$I = \int\limits_0^1 {{{dx} \over {1 + {x^{\pi /2}}}}} $$, then

$${\log _e}2 < I < \pi /4$$

$${\log _e}2 > I$$

$$I = \pi /4$$

$$I = {\log _e}2$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The value of $$\int\limits_{ - 2}^2 {(x\cos x + \sin x + 1)dx} $$ is

$$-$$2

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$$\int\limits_\pi ^{16\pi } {|\sin x|dx = } $$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The value of $$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{{{r^3}} \over {{r^4} + {n^4}}}} $$ is

$${1 \over 2}{\log _e}(1/2)$$

$${1 \over 4}{\log _e}(1/2)$$

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

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

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