1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\displaystyle\int_0^{\pi/2}$(sin4 x + cos4 x)dx = k, then what is the value of $\displaystyle\int_0^{20 \pi}$(sin4 x + cos4 x)dx ?
A
k
B
10 k
C
20 k
D
40 k
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\int_{−\pi/2}^{\pi/2}$(ecos x sin x + esin x cos x)dx equal to ?
A
$\frac{e^2−1}{e}$
B
$\frac{e^2+1}{e}$
C
$\frac{1−e^2}{e}$
D
0
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\int\limits^{\frac{\pi}{4}}_0 \frac{dx}{(\sin x + \cos x)^2}$ equal to?
A
$-\frac{1}{2}$
B
$\frac{1}{2}$
C
1
D
$\frac{3}{2}$
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\int\limits^{-1}_{-2}\frac{x}{|x|}dx$ equal to?
A
-2
B
-1
C
1
D
2
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