1
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{1}{9 \cos ^2 x-24 \sin x \cos x+16 \sin ^2 x} d x= $$

A

$\frac{\cos x}{4(3 \cos x-4 \sin x)}+C$

B

$\frac{\sin x}{4(3 \cos x-4 \sin x)}+C$

C

$\frac{\cos x}{3 \cos x-4 \sin x}+C$

D

$\frac{\sin x}{3 \cos x-4 \sin x}+C$

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\int \frac{1}{\cot \frac{x}{2} \cot \frac{x}{3} \cot \frac{x}{6}} d x=A \log \left|\cos \frac{x}{2}\right| +B \log \left|\cos \frac{x}{3}\right|+C \log \left|\cos \frac{x}{6}\right|+k$, then $A+B+C=$

A

7

B

-7

C

11

D

1

3
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A

$-x+\log |\cos x-\sin x|+C$

B

$x-\log |\cos x-\sin x|+C$

C

$-\log |\cos x-\sin x|+C$

D

$\log |\cos x-\sin x|+C$

4
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{x^4-1}{x^2 \sqrt{x^4+x^2+1}} d x= $$

A

$\frac{2 \sqrt{x^4+x^2+1}}{x}+C$

B

$\frac{\sqrt{x^4+x^2+1}}{x}+C$

C

$\frac{\sqrt{x^4+x^2+1}}{2 x}+C$

D

$\frac{4 \sqrt{x^4+x^2+1}}{x}+C$