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1
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int\limits_{-5 \pi}^{5 \pi}(1-\cos 2 x)^{\frac{5}{2}} d x$ is equal to
A
$\frac{64 \sqrt{2}}{5}$
B
$\frac{128 \sqrt{2}}{5}$
C
$\frac{256 \sqrt{2}}{3}$
D
$\frac{128 \sqrt{2}}{3}$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^{\pi / 4} \log (1+\tan x) d x= $$

A
$\pi \log 2+1$
B
$\frac{\pi}{2} \log 2+1$
C
$\frac{\pi}{4} \log 2$
D
$\frac{\pi}{8} \log 2$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int\limits_\pi ^\pi {}\frac{x \sin x}{1+\cos ^2 x} d x= $$

A
$\frac{3 \pi^2}{4}$
B
$\frac{\pi}{2}+1$
C
$\frac{\pi^2}{4}$
D
$\frac{\pi^2}{2}$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$$\int\limits_0^{\pi /4} {{{{x^2}} \over {{{(x\,\sin \,x + \cos \,x)}^2}}}dx = } $$
A
$\frac{2-\pi}{2+\pi}$
B
$\frac{4-\pi}{4+\pi}$
C
$\frac{6-\pi}{6+\pi}$
D
$\frac{8-\pi}{8+\pi}$
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