1
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{-4}^5 \frac{1}{\sqrt{20+x-x^2}} d x= $$

A

$\frac{81 \pi}{8}$

B

$\frac{9 \pi}{2}$

C

$\pi$

D

$\frac{\pi}{10}$

2
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^{\frac{\pi}{2}} \frac{d x}{\cos x-\sqrt{3} \sin x}= $$

A

0

B

$\frac{1}{2} \log (2-\sqrt{3})$

C

$\frac{1}{2} \log (2+\sqrt{3})$

D

$\frac{1}{2} \log (2 \sqrt{3}-3)$

3
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^{\frac{\pi}{2}} \sqrt{\tan x d x}= $$

A

$\frac{\pi}{\sqrt{2}}$

B

$\frac{\pi}{2}$

C

$\sqrt{2} \pi$

D

$2 \pi$

4
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{-1}^1 \frac{\log 2-\log (1+x)}{\sqrt{1-x^2}} d x= $$

A

$\frac{\pi}{8} \log 2$

B

$-\frac{\pi}{2} \log 2$

C

$-\frac{\pi}{4} \log 2$

D

$2 \pi \log 2$

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