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1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\int\frac{(\cos x)^{1.5}−(\sin x)^{1.5}}{\sqrt{\sin x⋅\cos x}}$dx equal to ?
A
$​\sqrt{\sin \text{x}}−\sqrt{\cos \text{x}}$ + c
B
$​\sqrt{\sin \text{x}}+\sqrt{\cos \text{x}}$ + c
C
$2\sqrt{\sin \text{x}}+2 \sqrt{\cos \text{x}}$ + c
D
$​\frac{1}{2}\sqrt{\sin \text{x}}+\frac{1}{2} \sqrt{\cos \text{x}}$ + c
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\int (\sin x)^{-1/2} (\cos x)^{-3/2}dx$ equal to?
A
$\sqrt {\tan x}+ c$
B
$2\sqrt {\tan x}+ c $
C
$\sqrt {\cot x}+ c$
D
$\sqrt {2 \tan x}+ c$
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $I_1 =\int\frac{e^x dx}{e^x + e^{-x}}$ and $I_2 =\int\frac{dx}{e^{2x} + 1},$then what is I1 + I2 equal to?
A
$\frac{x}{2}+c$
B
x + c
C
ln (ex + e-x) + c
D
ln (ex - e-x) + c
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the integral of f(x) = 1 + x2 + x4 with respect to x2?
A
$\rm x + \frac{x^3}{3}+\frac{x^5}{5}+C$
B
$\rm \frac{x^3}{3}+\frac{x^5}{5}+C$
C
$\rm x^2 + \frac{x^4}{4}+\frac{x^6}{6}+C$
D
$\rm x^2 + \frac{x^4}{2}+\frac{x^6}{3}+C$
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