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1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int \frac{\operatorname{cosec} x}{3 \cos x+4 \sin x} d x=$
A
$\frac{1}{2} \log \left|\frac{\cos x}{3 \sin x+4 \cos x}\right|+c$
B
$\frac{1}{3} \log \left|\frac{\sin x}{3 \cos x+4 \sin x}\right|+c$
C
$\frac{1}{3} \log \left|\frac{3 \cos x+\sin x}{3 \cos x+4 \sin x}\right|+c$
D
$\frac{1}{2} \log \left|\frac{\cos x+4 \sin x}{3 \cos x+4 \sin x}\right|+c$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int e^{2 x+3} \sin 6 x d x=$
A
$\frac{e^{2 x+3}}{40}(2 \sin (x x+6 \cos 6 x)+c$
B
$\frac{e^{2 v+3}}{40}(2 \cos 6 x+6 \sin 6 x)+c$
C
$\frac{e^{2 n+3}}{20}(\sin 6 x-3 \cos 6 x)+c$
D
$\frac{e^{2 n 3}}{20}(\cos 8 x-3 \sin 6 x)+c$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\frac{2 x^2+1}{x^3-1}=\frac{A}{x-1}+\frac{B x+C}{x^2+x+1} \Rightarrow 7 A+2 B+C=$$

A
8
B
9
C
10
D
11
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int \frac{3 x+4}{x^3-2 x+4} d x=\log f(x)+C \Rightarrow f(3)=$$

A
$$\frac{1}{\sqrt{17}}$$
B
$$\frac{1}{17}$$
C
$$\frac{2}{15}$$
D
$$\frac{2}{17}$$
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