1
WB JEE 2010
+1
-0.25

$$\int {\sqrt {1 + \cos x} dx}$$ is equal to

A
$$2\sqrt 2 \cos {x \over 2} + C$$
B
$$2\sqrt 2 \sin {x \over 2} + C$$
C
$$\sqrt 2 \cos {x \over 2} + C$$
D
$$\sqrt 2 \sin {x \over 2} + C$$
2
WB JEE 2011
+1
-0.25

$$\int {{{{x^3}dx} \over {1 + {x^8}}} = }$$

A
$$4{\tan ^{ - 1}}{x^3} + c$$
B
$${1 \over 4}{\tan ^{ - 1}}{x^4} + c$$
C
$$x + 4{\tan ^{ - 1}}{x^4} + c$$
D
$${x^2} + {1 \over 4}{\tan ^{ - 1}}{x^4} + c$$
3
WB JEE 2011
+1
-0.25

$$\int {{{\cos 2x} \over {\cos x}}dx = }$$

A
$$2\sin x + \log |\sec x + \tan x| + C$$
B
$$2\sin x - \log |\sec x - \tan x| + C$$
C
$$2\sin x - \log |\sec x + \tan x| + C$$
D
$$2\sin x + \log |\sec x - \tan x| + C$$
4
WB JEE 2011
+1
-0.25

$$\int {{{{{\sin }^8}x - {{\cos }^8}x} \over {1 - 2{{\sin }^2}x{{\cos }^2}x}}dx}$$

A
$$- {1 \over 2}\sin 2x + C$$
B
$${1 \over 2}\sin 2x + C$$
C
$${1 \over 2}\sin x + C$$
D
$$- {1 \over 2}\sin x + C$$
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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