1
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

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

2
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

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

3
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A

0

B

$\frac{2}{15}$

C

$\frac{4}{15}$

D

$\frac{2}{5}$

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{1 / 5}^{1 / 2} \frac{\sqrt{x-x^2}}{x^3} d x= $$

A

$\frac{21}{2}$

B

$\frac{14}{3}$

C

$\frac{7}{3}$

D

$\frac{7}{2}$

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