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

$$ \int_0^\pi \frac{x \cos ^2 x}{1+\sin x} d x= $$

A

$\frac{\pi(\pi-2)}{2}$

B

1

C

$\frac{\pi(\pi+2)}{2}$

D

$\frac{\pi}{4}$

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

If $[x]$ represents greatest integer function, then

$$ \int_{-2}^2[2-x] d x= $$

A

10

B

6

C

4

D

3

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

$$ \int_0^2 \frac{x}{(2-x)^{\frac{3}{4}}} d x= $$

A

$\frac{24}{5} 2^{\frac{1}{4}}$

B

$\frac{5}{24} 2^{\frac{3}{4}}$

C

$\frac{32}{5} 2^{\frac{1}{4}}$

D

$\frac{5}{12} 2^{\frac{3}{4}}$

4
TS EAMCET 2023 (Online) 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^2 x^3(2-x)^4 d x= $$

A

$\frac{128}{105}$

B

$\frac{16}{35}$

C

$\frac{256}{105}$

D

$\frac{32}{35}$

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