1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

Let $l=\int_a^b \frac{|x|}{x} d x, $ a < b

What is l equal to when a < b < 0 ? 
A
a + b
B
a - b
C
b - a
D
$\frac{(a+b)}{2}$
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\int_0^1 \ln \left(\frac{1}{x}−1\right)$dx equal to ?
A
−1
B
0
C
1
D
ln 2
3
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
4
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
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