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

$$ \int \frac{x+\cos x}{1-\sin x} d x= $$

A

$x \tan \left(\frac{\pi}{4}+\frac{x}{2}\right)+C$

B

$x \tan \frac{x}{2}+C$

C

$x \cot \frac{x}{2}+C$

D

$x \cot \left(\frac{\pi}{4}+\frac{x}{2}\right)+C$

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

If $\int \frac{1}{(x+2) \sqrt{x^2+x+2}} d x=$

A

$-\frac{1}{2} \sinh ^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+C$

B

$-\frac{1}{2} \sin ^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+C$

C

$\frac{1}{2} \cosh ^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+C$

D

$-\frac{1}{2} \cos ^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+C$

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

If $\frac{x^2+1}{\left(x^2+2\right)\left(x^2+3\right)}=\frac{A x+B}{x^2+2}+\frac{C x+D}{x^2+3}$, then $A+B+C+D=$

A

0

B

1

C

-1

D

6

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

$$ \int \frac{3^x(x \log 3-1)}{x^2} d x= $$

A

$x \cdot 3^x+C$

B

$\frac{3^x}{x^2}+C$

C

$x^2 3^x+C$

D

$\frac{3^x}{x}+C$

TS EAMCET Subjects

Browse all chapters by subject