1
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

$2 \pi \log 2$

2
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

$\log 7$

3
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

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

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

$$ \int_0^{\pi / 4} \frac{1}{5 \cos ^2 x+16 \sin ^2 x+8 \sin x \cos x} d x= $$

A

$\tan ^{-1}\left(\frac{4}{5}\right)$

B

$2 \tan ^{-1}\left(\frac{3}{5}\right)$

C

$\frac{1}{8} \tan ^{-1}\left(\frac{8}{9}\right)$

D

$\frac{1}{4} \tan ^{-1}\left(\frac{7}{8}\right)$

TS EAMCET Subjects

Browse all chapters by subject