1
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^3\left|x^2-3 x+2\right| d x= $$

A

$\frac{11}{6}$

B

$\frac{5}{6}$

C

$\frac{3}{2}$

D

$\frac{2}{3}$

2
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{-\frac{\pi}{8092}}^{\frac{\pi}{8092}} \frac{\sec (2023 x)}{1+(2023)^{(2023 x)}} d x= $$

A

$\frac{1}{2023 \sqrt{2}}+C$

B

$\frac{\log (\sqrt{2}+1)}{2023}+C$

C

$\frac{\log 2}{4046}+C$

D

$\frac{\sqrt{2}}{2023}+C$

3
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^2 x^{\frac{5}{2}} \sqrt{2-x} d x= $$

A

$\frac{5 \pi}{16}$

B

$\frac{5}{4}$

C

$\frac{5 \pi}{8}$

D

$\frac{5}{8}$

4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^{\pi / 4} \frac{\sec x}{1+2 \sin ^2 x} d x= $$

A
$\frac{1}{3} \log (\sqrt{2}+1)+\frac{\pi \sqrt{2}}{12}$
B
$\frac{2}{3} \log (\sqrt{2}+1)+\frac{\pi \sqrt{2}}{6}$
C
$\frac{1}{6} \log (\sqrt{2}-1)+\frac{\pi}{12}$
D
$\frac{1}{4} \log (\sqrt{2}-1)-\frac{\pi \sqrt{3}}{6}$

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