1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int_0^{{\pi \over 2}} {{e^{\sin x}}} \cos x\,xdx$$ is equal to
A
e + 1
B
e $$-$$ 1
C
e + 2
D
e
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\int^{1}_{-1}(3\sin x-\sin 3x)\cos^2 xdx$ equal to?

A

$\frac{1}{4}$

B

0

C

$\frac{1}{2}$

D

$\frac{1}{4}$

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let $p=\int_a^b f(x) d x$ and $q=\int_a^b|f(x)| d x$. If $f(x)=e^{-x}$, then which one of the following is correct ?
A

$p=2q$

B

$p=-q$

C

$4p=q$

D

$p=q$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\int^{\pi/2}_0 \frac{a+\sin x}{2a+\sin x+\cos x} dx$ equal to?

A

$\frac{\pi}{4}$

B

$\frac{\pi}{2}$

C

1

D

0

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