1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int \sin ^{-1} \sqrt{\frac{x}{a+x}} d x=$
A
$(a+x) \tan ^{-1} \sqrt{\frac{x}{a}}-\sqrt{a x}+c$
B
$\frac{1}{a+x} \tan ^{-1}\left(\frac{x}{a}\right)-\sqrt{a x}+c$
C
$(a+x) \tan ^{-1}\left(\frac{a}{x}\right)+\sqrt{a x}+c$
D
$\sqrt{a+x} \tan ^{-1}\left(\frac{x}{a}\right)+a x+c$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int\limits_{\frac{-1}{24}}^{\frac{1}{24}} \sec x \log \left(\frac{1-x}{1+x}\right) d x=$
A
$\frac{\pi}{2}$
B
$\pi$
C
1
D
0
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $[x]$ is the greatest integer function, then $\int_0^5[x] d x=$
A
15
B
2
C
3
D
10
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int_0^{\frac{\pi}{2}} \frac{1}{1+\sqrt{\tan x}} d x=$
A
0
B
$\frac{\pi}{2}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$
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