WB JEE 2010 | Definite Integration Question 17 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $${I_1} = \int\limits_0^{3\pi } {f({{\cos }^2}x)dx} $$ and $${I_2} = \int\limits_0^\pi {f({{\cos }^2}x)dx} $$, then

$${I_1} = {I_2}$$

$$3{I_1} = {I_2}$$

$${I_1} = 3{I_2}$$

$${I_1} = 5{I_2}$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of $$I = \int\limits_{ - \pi /2}^{\pi /2} {|\sin x|dx} $$ is

$$-$$2

$$-$$2 < I < 2

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

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