1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {x{{(1 + \ln x)}^n}}}} $$ equal to (n $$\ne$$ 1) ?
A
$${1 \over {(n - 1){{(1 + \ln x)}^{n - 1}}}} + c$$
B
$${{1 - n} \over {{{(1 + \ln x)}^{1 - n}}}} + c$$
C
$${{n + 1} \over {{{(1 + \ln x)}^{n + 1}}}} + c$$
D
$$ - {1 \over {(n - 1){{(1 + \ln x)}^{n - 1}}}} + c$$
2
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
$${{2\ln (x)} \over x} - 2x + C$$
3
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
$${{a{e^x}} \over {\ln (a)}} + C$$
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

Given that $\int \frac{3 \cos x + 4 \sin x}{2 \cos x + 5 \sin x} dx = \frac{\alpha x}{29} + \frac{\beta}{29} \ln |2 \cos x + 5 \sin x| + c$

What is the value of $\alpha$ ?

A

7

B

13

C

17

D

26

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