1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let $\displaystyle I=\int_{-2 \pi}^{2 \pi} \frac{\sin ^4 x+\cos ^4 x}{1+3^x} d x$
What is I equal to?
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
What is $\displaystyle \rm \int_0^{8 \pi}|\sin x| d x$ equal to?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow :
Let f(x) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$
‘What is the value of Q ?
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow :
Let f(x) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$
What is the value of R ?
Questions Asked from Definite Integration (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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