1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \int^\pi _0 ln\left(tan\frac{x}{2}\right) dx$ equal to?
A
0
B
$\rm \frac{1}{2}$
C
1
D
2
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = 2x, then what is $\int^{10}_2\frac{f'(x)}{f(x)}dx$ equal to?
A
4 ln 2
B
ln 4
C
ln 5
D
8 ln 2
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\rm \int^0_{-2} f(x)dx=k$, then $\rm \int^0_{-2}|f(x)|dx$ is
A
less than k
B
greater than k
C
less than or equal to k
D
greater than or equal to k
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\rm \int_0^a \frac{f(a-x)}{f(x)+f(a-x)}\ dx $ equal to?

A
a
B
2a
C
0
D
$\rm \frac{a}{2}$
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