1
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

$2 \pi$

2
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

$2 \pi \log 2$

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

$$ \int_0^{\frac{\pi}{4}} \frac{\sec x}{3 \cos x+4 \sin x} d x= $$

A

$\log \left(\frac{7}{3}\right)$

B

$\frac{1}{4} \log \left(\frac{7}{3}\right)$

C

$\frac{1}{4} \log 7$

D

$\log 7$

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

$$ \int_{-2}^4\left|2-x^2\right| d x= $$

A

$\frac{8 \sqrt{2}}{3}-3$

B

$\frac{16 \sqrt{2}}{3}+12$

C

$\frac{16 \sqrt{2}}{3}-3$

D

$\frac{8 \sqrt{2}}{3}+12$

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