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1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int \log x^2 d x=$
A
$\log x^2+x+c$
B
$x \log x^2-1+c$
C
$x \log x^2+x+c$
D
$x \log x^2-2 x+c$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int \frac{d x}{(x+2)\left(x^2+1\right)}=p \log |x+2|+q \log \left|x^2+1\right|+r \tan ^{-1} x+c$ then $p+q+r=$
A
$\frac{2}{5}$
B
$\frac{1}{2}$
C
$\frac{7}{10}$
D
16
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is } $$

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

$$ \int e^x\left[\frac{x^2+1}{(x+1)^2}\right] d x \quad \text { is equal to } $$

A
$$ -\frac{e^x}{x+1}+C $$
B
$$ e^x\left(\frac{x-1}{x+1}\right)+C $$
C
$$ \frac{e^x}{x+1}+C $$
D
$$ \frac{x e^x}{x+1}+C $$
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