1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The value of the integral $$\int_0^1 {{e^{{x^2}}}} dx$$
A
is less than 1
B
is greater than 1
C
is less than or equal to 1
D
lies in the closed interval [1, e]
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
$$\int_0^{100} {{e^{x - [x]}}} dx$$ is equal to
A
$${{{e^{100}} - 1} \over {100}}$$
B
$${{{e^{100}} - 1} \over {e - 1}}$$
C
$$100(e - 1)$$
D
$${{e - 1} \over {100}}$$
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Solution of $${(x + y)^2}{{dy} \over {dx}} = {a^2}$$ ('a' belong a constant) is
A
$${{(x + y)} \over a} = \tan {{y + C} \over a},C$$ is an arbitrary constant
B
$$xy = a\tan Cx,C$$ is an arbitrary constant
C
$${x \over a} = \tan {y \over C},C$$ is an arbitrary constant
D
$$xy = \tan (x + C),C$$ is an arbitrary constant
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The integrating factor of the first order differential equation $${x^2}({x^2} - 1){{dy} \over {dx}} + x({x^2} + 1)y = {x^2} - 1$$ is
A
ex
B
$$x - {1 \over x}$$
C
$$x + {1 \over x}$$
D
$${1 \over {{x^2}}}$$
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