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1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{e^{\sin x}}} {{x{{\cos }^3}x - \sin x} \over {{{\cos }^2}x}}dx$$ equal to ?
A
$$(x + \sec x){e^{\sin x}} + C$$
B
$$(x - \sec x){e^{\sin x}} + C$$
C
$$(x + \tan x){e^{\sin x}} + C$$
D
$$(x - \tan x){e^{\sin x}} + C$$
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{\tan }^{ - 1}}(\sec x + \tan x)dx} $$ equal to ?
A
$${{\pi x} \over 4} + {{{x^2}} \over 4} + C$$
B
$${{\pi x} \over 2} + {{{x^2}} \over 4} + C$$
C
$${{\pi x} \over 4} + {{\pi {x^2}} \over 4} + C$$
D
$${{\pi x} \over 4} - {{{x^2}} \over 4} + C$$
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int {{{(\ln x)}^{ - 1}}dx - \int {{{(\ln x)}^{ - 2}}dx} } $$ is equal to ?
A
$$x{(\ln x)^{ - 1}} + C$$
B
$$x{(\ln x)^{ - 2}} + C$$
C
$$x(\ln x) + C$$
D
$$x{(\ln x)^2} + C$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {x({x^7} + 1)}}} $$ equal to ?
A
$${1 \over 2}\ln \left| {{{{x^7} - 1} \over {{x^7} + 1}}} \right| + C$$
B
$${1 \over 7}\ln \left| {{{{x^7} + 1} \over {{x^7}}}} \right| + C$$
C
$${1 \over 2}\ln \left| {{{{x^7} - 1} \over {7x}}} \right| + C$$
D
$${1 \over 7}\ln \left| {{{{x^7}} \over {{x^7} + 1}}} \right| + C$$
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