WB JEE 2008 | Definite Integration Question 7 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The value of the integral $$\int\limits_{ - a}^a {{{x{e^{{x^2}}}} \over {1 + {x^2}}}dx} $$ is

$${{e^{{a^2}}}}$$

$${e^{ - {a^2}}}$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The value of the $$\mathop {\lim }\limits_{n \to \infty } \left( {{1 \over {n + 1}} + {1 \over {n + 2}} + ... + {1 \over {6n}}} \right)$$ is

log 2

log 6

log 3

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If $$f(x) = f(a - x)$$, then $$\int\limits_0^a {xf(x)dx} $$ is equal to

$$\int\limits_0^a {f(x)dx} $$

$${{{a^2}} \over 2}\int\limits_0^a {f(x)dx} $$

$${a \over 2}\int\limits_0^a {f(x)dx} $$

$$ - {a \over 2}\int\limits_0^a {f(x)dx} $$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The value of $$\int\limits_0^\infty {{{dx} \over {({x^2} + 4)({x^2} + 9)}}} $$ is

$${\pi \over {60}}$$

$${\pi \over {20}}$$

$${\pi \over {40}}$$

$${\pi \over {80}}$$

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