Definite Integration · Mathematics · NDA

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MCQ (Single Correct Answer)

1

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

NDA Mathematics 21 April 2024
2
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 ?
NDA Mathematics 21 April 2024
3

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

NDA Mathematics 21 April 2024
4

What is $\int\limits_{-1}^{0} h(x) dx$ equal to?

NDA Mathematics 21 April 2024
5

What is $\int_{0}^{2} h(x) dx$ equal to?

NDA Mathematics 21 April 2024
6

What is $8\int_1^2 f(x)dx$ equal to?

NDA Mathematics 21 April 2024
7
What is $\displaystyle \int_0^\pi\left(\sin ^4 x+\cos ^4 x\right) d x$ equal to?
NDA Mathematics 3 September 2023
8
What is I equal to?
NDA Mathematics 3 September 2023
9
What is $\displaystyle \rm \int_0^{8 \pi}|\sin x| d x$ equal to?
NDA Mathematics 3 September 2023
10
‘What is the value of Q ? 
NDA Mathematics 16 April 2023
11
What is the value of R ? 
NDA Mathematics 16 April 2023
12
What is the value of $\frac{I_1+I_2}{I_1-I_2} $ ?
NDA Mathematics 16 April 2023
13
What is the value of $8 I_1^2$
NDA Mathematics 16 April 2023
14
What is the value of I2 ?
NDA Mathematics 16 April 2023
15
What is l equal to when a < 0 < b ? 
NDA Mathematics 16 April 2023
16
What is l equal to when a < b < 0 ? 
NDA Mathematics 16 April 2023
17
What is $\displaystyle\int_0^1 \ln \left(\frac{1}{x}−1\right)$dx equal to ?
NDA Mathematics 4 September 2022
18
If $\displaystyle\int_0^{\pi/2}$(sin4 x + cos4 x)dx = k, then what is the value of $\displaystyle\int_0^{20 \pi}$(sin4 x + cos4 x)dx ?
NDA Mathematics 4 September 2022
19
What is $\displaystyle\int_{−\pi/2}^{\pi/2}$(ecos x sin x + esin x cos x)dx equal to ?
NDA Mathematics 4 September 2022
20
What is $\int\limits^{\frac{\pi}{4}}_0 \frac{dx}{(\sin x + \cos x)^2}$ equal to?
NDA Mathematics 10 April 2022
21
What is $\int\limits^{-1}_{-2}\frac{x}{|x|}dx$ equal to?
NDA Mathematics 10 April 2022
22

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

NDA Mathematics 18 April 2021
23

If $\rm \int_0^a \left[f(x)+f(-x)\right]dx=\int_{-a}^{\ \ a} g(x)\ dx $, then what is g(x) equal to?

NDA Mathematics 18 April 2021
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