1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\lim \limits_{n \rightarrow+\infty}\left[{\frac{1}{n^4}+\frac{1}{\left(n^2+1\right)^{\frac{3}{2}}}+\frac{1}{\left(n^2+4\right)^{\frac{3}{2}}}+\frac{1}{\left(n^2+9\right)^{\frac{3}{2}}}}{+\ldots \ldots+\frac{1}{4 \sqrt{2} n^5}}\right]=$
A
$\frac{3}{4 \sqrt{2}}$
B
$\frac{3 \sqrt{2}}{4}$
C
$\frac{5}{6 \sqrt{2}}$
D
$\frac{5 \sqrt{2}}{6}$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_{\log 4}^{\log 4} \frac{e^{2 x}+e^x}{e^{2 r}-5 e^x+6} d x=$
A
$\log \left(\frac{64}{9}\right)$
B
$\log \left(\frac{256}{81}\right)$
C
$\log \left(\frac{32}{3}\right)$
D
$\log \left(\frac{128}{27}\right)$
3
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
$\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{2}{\sqrt{3}}\right)$
4
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
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