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1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{\sin 7 x}{\sin 2 x \sin 5 x} d x= $$

A
$\log (\sin 5 x \sin 2 x)+c$
B
$\log (\sin 5 x)+\log (\sin 2 x)+c$
C
$\frac{1}{5} \log (\sin 5 x)+\frac{1}{2} \log (\sin 2 x)+c$
D
$\frac{1}{5} \log (\sin x)+\frac{1}{2} \log (\sin x)+c$
2
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{x+2}{\left(x^2+3\right)\left(x^4+x^2\right)\left(x^2+2\right)}=\frac{A x+B}{x^2+3}+\frac{C x+D}{x^2+2}$ $+\frac{E x^3+F x^2+G x+H}{x^4+x^2}$, then $(E+F)(C+D)(A)=$
A
$-\frac{1}{4}$
B
$-\frac{3}{4}$
C
$\frac{3}{4}$
D
$\frac{1}{4}$
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int \frac{\sin ^6 x}{\cos ^8 x} d x=$
A
$\tan 7 x+c$
B
$\frac{\tan ^7 x}{7}+c$
C
$\frac{\tan 7 x}{7}+c$
D
$\sec ^7 x$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int \frac{x^5}{x^2+1} d x=$
A
$\frac{x^4}{4}+\frac{x^3}{3}-\tan ^{-1} x+c$
B
$\frac{x^4}{4}-\frac{x^2}{2}+\frac{1}{2} \log \left(x^2+1\right)+c$
C
$\frac{x^4}{4}+\frac{x^3}{3}+\tan ^{-1} x+c$
D
$\frac{x^4}{4}+\frac{x^2}{2}-\frac{1}{2} \log \left(x^2+1\right)+c$
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