1
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

$\frac{\pi}{2}$

2
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

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

3
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

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

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

$$ \int_0^2 x^8\left(\frac{4}{x^2}-1\right)^{\frac{5}{2}} d x= $$

A

$\frac{2^{15}}{63}$

B

$\frac{2^{16}}{315}$

C

$\frac{2^{16}}{189}$

D

$\frac{2^{10}}{63}$

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