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 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following for the two (02) items that follow:

Let the function y = (1 - cos x)-1 where$x \ne 2n\pi$ and n is an integer

What is ydx equal to? 

where c is the constant of integration.

A
tan(x/2)+c
B
cot(x/2)+c
C
tan(x/2)+c
D
cot(x/2)+c
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 |U2(x) - V2(x)| equal to?
1
0
2
1
3
2
4
3
EXAM MAP