1
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{f^{\prime}(x)}{f(x) \log (f(x))} d x \text { is equal to } $$

A
$$ f(x) \log f(x)+C $$
B
$$ \frac{1}{\log (\log f(x))}+C $$
C
$$ \frac{f(x)}{\log f(x)}+C $$
D
$$ \log (\log f(x))+C $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \log x(\log x+2) d x \text { equals to } $$

A
$$ x\left[1+(\log x)^2\right]+C $$
B
$$ x(1+\log x)^2+C $$
C
$$ 2 x \log x+C $$
D
$$ x(\log x)^2+C $$
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{1+x+\sqrt{x+x^2}}{\sqrt{x}+\sqrt{1+x}} d x \text { is equal to } $$

A
$$ \frac{1}{2} \sqrt{1+x}+C $$
B
$$ \sqrt{1+x}+C $$
C
$$ \frac{2}{3}(1+x)^{\frac{3}{2}}+C $$
D
$$ 2(1+x)^{\frac{3}{2}}+C $$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\int \frac{1}{\sqrt{\sin ^3 x \cos x}} d x=\frac{k}{\sqrt{\tan x}}+c$$ then the value of $$k$$ is

A
$$-2$$
B
1
C
2
D
$$-1$$
COMEDK Subjects
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