1
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \int e^{\left(2\ln x+\ln x^2\right)}dx$ equal to?
A
$\rm \frac{x^4}{4}+c$
B
$\rm \frac{x^3}{3}+c$
C
$\rm \frac{2x^5}{5}+c$
D
$\rm \frac{x^5}{5}+c$
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\rm \int \frac{dx}{\sec x+\tan x}$ equal to?

A
ln (sec x) + ln |sec x + tan x| + c
B
ln (sec x) - ln |sec x + tan x| + c
C
sec x tan x - ln |sec x - tan x| + c
D
ln |sec x + tan x| - ln |sec x| + c
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\int \dfrac{dx}{sec^2({tan}^{-1}x)}$ equal to?

A
sin-1 x + c
B
tan-1 x + c
C
sec-1 x + c
D
cos-1 x + c
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