1
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^\pi\left(\sin ^5 x \cos ^3 x+\sin ^4 x \cos ^4 x+\sin ^3 x \cos ^4 x\right) d x= $$

A

$\frac{873}{2240}$

B

$\frac{3 \pi}{128}+\frac{12}{35}$

C

$\frac{1641}{4480}$

D

$\frac{3 \pi}{128}+\frac{4}{35}$

2
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^1 \frac{x^4+1}{x^6+1} d x= $$

A

$\frac{\pi}{3}$

B

$\frac{\pi}{4}$

C

$\frac{\pi}{6}$

D

$\frac{\pi}{2}$

3
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{-2 \pi}^{2 \pi} \sin ^4(2 x) \cos ^6(2 x) d x= $$

A

$\frac{3 \pi}{64}$

B

$\frac{9 \pi}{64}$

C

$\frac{9 \pi}{35}$

D

$\frac{9 \pi}{280}$

4
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $f(t)=\int_0^t \tan ^{(2 n-1)} x d x, n \in N$, then $f(t+\pi)=$

A

$f(t) f(\pi)$

B

$f(t)-f(\pi)$

C

$f(t)+f(\pi)$

D

$\frac{f(t)}{f(\pi)}$

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