1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {\ln ({x^2})dx} $$ equal to?
A
$$2x\ln (x) - 2x + C$$
B
$${2 \over x} + C$$
C
$$2x\ln (x) + C$$
D
$${{2\ln (x)} \over x} - 2x + C$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{e^{x\ln (a)}}} dx$$ equal to ?
A
$${{{a^x}} \over {\ln (a)}} + C$$
B
$${{{e^x}} \over {\ln (a)}} + C$$
C
$${{{e^x}} \over {\ln (ae)}} + C$$
D
$${{a{e^x}} \over {\ln (a)}} + C$$
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let $\rm 2\int\frac{x^2-1}{\sqrt{x^2+1}}dx=U(x) V(x)-3\ln \{U(x)+V(x)\}+c$

What is |U2(x) - V2(x)| equal to?
1
0
2
1
3
2
4
3
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let $\rm 2\int\frac{x^2-1}{\sqrt{x^2+1}}dx=U(x) V(x)-3\ln \{U(x)+V(x)\}+c$

What is U(x) V(x) equal to? 
1
$\rm\sqrt{x^2+x^4}$
2
$\rm\sqrt{x+x^3}$
3
$\rm \frac{\sqrt{x^2+x^4}}{2}$
4
$\rm 2\sqrt{x^2+x^4}$
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