1
WB JEE 2017
+1
-0.25 $$\int {\cos (\log x)dx}$$ = F(x) + C, where C is an arbitrary constant. Here, F(x) is equal to
A
$$x[\cos (\log x) + \sin (\log x)]$$
B
$$x[\cos (\log x) - \sin (\log x)]$$
C
$${x \over 2}[\cos (\log x) + \sin (\log x)]$$
D
$${x \over 2}[\cos (\log x) - \sin (\log x)]$$
2
WB JEE 2017
+1
-0.25 $$\int {{{{x^2} - 1} \over {{x^4} + 3{x^2} + 1}}dx}$$ (x > 0) is
A
$${\tan ^{ - 1}}\left( {x + {1 \over x}} \right) + C$$
B
$${\tan ^{ - 1}}\left( {x - {1 \over x}} \right) + C$$
C
$${\log _e}\left| {{{x + {1 \over x} - 1} \over {x + {1 \over x} + 1}}} \right| + C$$
D
$${\log _e}\left| {{{x - {1 \over x} - 1} \over {x - {1 \over x} + 1}}} \right| + C$$
3
WB JEE 2017
+1
-0.25 Let I = $$\left| {\int {_{10}^{19}{{\sin x} \over {1 + {x^8}}}dx} } \right|$$. Then,
A
| I | < 10$$-$$9
B
| I | < 10$$-$$7
C
| I | < 10$$-$$5
D
| I | > 10$$-$$7
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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