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1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int\limits_0^\pi {{e^x}\sin x} \,dx$$ equal to ?
A
$${{{e^\pi } + 1} \over 2}$$
B
$${{{e^\pi } - 1} \over 2}$$
C
$${e^\pi } + 1$$
D
$${{{e^\pi } + 1} \over 4}$$
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int\limits_1^e x \ln x\,dx$$ equal to ?
A
$${{e + 1} \over 4}$$
B
$${{{e^2} + 1} \over 4}$$
C
$${{e - 1} \over 4}$$
D
$${{{e^2} - 1} \over 4}$$
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int\limits_0^{\sqrt 2 } {[{x^2}]} \,dx$$ equal to (where [ . ] is the greatest integer function) ?
A
$$\sqrt 2 - 1$$
B
$$1 - \sqrt 2 $$
C
$$2(\sqrt 2 - 1)$$
D
$$\sqrt 3 - 1$$
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
what is the value of $$\int\limits_{ - \pi /4}^{\pi /4} {(\sin x - \tan x)\,dx} $$ ?
A
$$ - {1 \over {\sqrt 2 }} + \ln \left( {{1 \over {\sqrt 2 }}} \right)$$
B
$${1 \over {\sqrt 2 }}$$
C
0
D
$$\sqrt 2 $$
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