1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let $\rm 2\int\frac{x^2-1}{\sqrt{x^2+1}}dx=U(x) V(x)-3\ln \{U(x)+V(x)\}+c$
What is |U2(x) - V2(x)| equal to?
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let $\rm 2\int\frac{x^2-1}{\sqrt{x^2+1}}dx=U(x) V(x)-3\ln \{U(x)+V(x)\}+c$
What is U(x) V(x) equal to?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow:
Given that $\int \frac{3 \cos x + 4 \sin x}{2 \cos x + 5 \sin x} dx = \frac{\alpha x}{29} + \frac{\beta}{29} \ln |2 \cos x + 5 \sin x| + c$
What is the value of $\alpha$ ?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow:
Given that $\int \frac{3 \cos x + 4 \sin x}{2 \cos x + 5 \sin x} dx = \frac{\alpha x}{29} + \frac{\beta}{29} \ln |2 \cos x + 5 \sin x| + c$
What is the value of $\beta$ ?
Questions Asked from Indefinite Integration (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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