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

Consider the following for the next three (03) items that follow :

Let $I_1=\int_0^\pi \frac{x}{1+\cos ^2 x} d x$ and 

$I_2=\int_0^\pi \frac{1}{1+\sin ^2 x} d x $

What is the value of $8 I_1^2$
A
π
B
π2
C
π3
D
π4
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow :

Let $I_1=\int_0^\pi \frac{x}{1+\cos ^2 x} d x$ and 

$I_2=\int_0^\pi \frac{1}{1+\sin ^2 x} d x $

What is the value of I2 ?
A
$\frac{\pi}{ \sqrt{2}}$
B
$\frac{ \pi}{2 \sqrt{2}}$
C
$\frac{3 \pi}{2 \sqrt{2}}$
D
$\frac{ \pi}{4 \sqrt{2}}$
3
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 < 0 < b ? 
A
a + b
B
a - b
C
b - a
D
$\frac{(a+b)}{2}$
4
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
$\frac{(a+b)}{2}$
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