1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(x) = |x2 - x - 2|

What is $\rm \int_0^2f(x)dx$ equal to
1
0
2
1
3
5/3
4
10/3
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(x) = |x2 - x - 2|

What is $\rm \int_h^3f(x)dx$ equal to
1
2
2
3
3
4
4
5
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(t) = $\rm \ln(t+\sqrt{1+t^2})$ and g(t) = tan(f(t)).  

What is $\rm \int_{-\pi}^\pi g(t)dt$ equal to
1
-1
2
0
3
1/2
4
1
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let $\rm I=\int_0^{\pi/2}\frac{f(x)}{g(x)}dx$, where f(x) = sin x and g(x) = sin x + cos x + 1

What is $\rm \int_0^{\pi/2}\frac{d(x)}{g(x)}$ equal to
1
$\frac{\ln2}{2}$
2
$\frac{\ln2}{4}$
3
ln 2
4
2 ln 2
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