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1
KCET 2017
MCQ (Single Correct Answer)
+1
-0

$$ \int \sqrt{x^2+2 x+5} d x \text { is equal to } $$

A

$$\frac{1}{2}(x+1) \begin{aligned} & \sqrt{x^2+2 x+5}+2 \log \mid x+1+ \sqrt{x^2+2 x+5 \mid}+C \end{aligned} $$

B

$\left.(x+1) \sqrt{x^2+2 x+5}+\frac{1}{2} \log \right\rvert\, x+1+\sqrt{x^2+2 x+5}+C $

C

$(x+1) \sqrt{x^2+2 x+5}+2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $

D

$(x+1) \sqrt{x^2+2 x+5}-2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $

2
KCET 2017
MCQ (Single Correct Answer)
+1
-0
$\int \frac{(x+3) e^x}{(x+4)^2} d x$ is equal to
A
$\frac{e^x}{(x+4)^2}+C$
B
$\frac{e^x}{(x+3)}+C$
C
$\frac{1}{(x+4)^2}+C$
D
$\frac{e^x}{(x+4)}+C$
3
KCET 2017
MCQ (Single Correct Answer)
+1
-0
$\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x$ is equal to
A
$2(\sin x+x \cos \theta)+C$.
B
$2(\sin x-x \cos \theta)+C$
C
$2(\sin x+2 x \cos \theta)+C$
D
$2(\sin x-2 x \cos \theta)+C$
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