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1
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int\limits_0^{\frac{\pi}{2}} \sin ^6 x \cos ^4 x d x= $$

A
$\frac{\pi}{256}$
B
$\frac{\pi}{512}$
C
$\frac{3 \pi}{512}$
D
$\frac{5 \pi}{512}$
2
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$$ \int_{1 / 2}^2\left|\log _{10} x\right| d x= $$
A
$\log _{10}\left(\frac{8}{e}\right)$
B
$\frac{1}{2} \log _{10}\left(\frac{8}{e}\right)$
C
$\log _{10}\left(\frac{2}{e}\right)$
D
$\log _e\left(\frac{3}{e}\right)$
3
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$$ \int_0^{\pi / 2} \frac{\sin ^2 x}{\sin x+\cos x} d x= $$
A
$\sqrt{2} \log (\sqrt{2}+1)$
B
$\frac{1}{\sqrt{2}} \log (\sqrt{2}+1)$
C
$\log (\sqrt{2}+1)$
D
$\frac{1}{\sqrt{2}} \log (\sqrt{2}-1)$
4
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

[.] is the greatest integer function, then

$$ \int_0^{2 \pi}[|\sin x|+|\cos x|] d x= $$

A
$\frac{\pi}{2}$
B
$\pi$
C
$\frac{3 \pi}{2}$
D
$2 \pi$
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