1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_1^2 \frac{x^4-1}{x^6-1} d x=$
A
$\frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)$
B
$\frac{121}{6}$
C
$\sqrt{2}-1$
D
$\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{2}{\sqrt{3}}\right)$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The area of the region ( in sq units) enclosed by the curve $y=x^3-19 x+30$ and the $X$-axis, is
A
$\frac{167}{2}$
B
$\frac{517}{2}$
C
36
D
72
3
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The differential equation representing the family of circles having their centres of Y -axis is $\left(y_1=\frac{d y}{d x}\right.$ and $\left.y_2=\frac{d^2 y}{d x^2}\right)$
A
$y_2=y\left(y_1^2+1\right)$
B
$y_2=x y\left(y_1^2+1\right)$
C
$x_2=y_1\left(y_1^2+1\right)$
D
$x y_2=y\left(y_1^2+1\right)$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\left(\sin y \cos ^2 y-x \sec ^2 y\right) d y=(\tan y) d r$, is
A
$\tan y=3 x \cos ^3 y+c$
B
$x(\sec y+\tan y)=\cos ^2 y+c$
C
$y \sin y=x^2 \cos ^2 y+c$
D
$3 x \tan y+\cos ^3 y=c$
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