1
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
2
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
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the function f(x) = x2 - kx is monotonically increasing in the interval (1, ∞), then which one of the following is correct?
A
k < 2
B
2 < k < 3
C
3 < k < 4
D
k > 4
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the area bounded by y = [x], where [⋅] is the greatest integer function, the x-axis and the lines x = -1.5 and x = -1.8?
A
0.3 square unit
B
0.4 square unit
C
0.6 square unit
D
0.8 square unit
EXAM MAP