1
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

$\frac{2}{5}$

2
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

$\frac{7}{2}$

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

$$ \int_0^{400 \pi} \sqrt{1-\cos 2 x} d x= $$

A

$100 \sqrt{2}$

B

$200 \sqrt{2}$

C

$400 \sqrt{2}$

D

$800 \sqrt{2}$

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

$$ \int_0^x \frac{t^2}{\sqrt{a^2+t^2}} d t= $$

A

$\frac{x}{2} \sqrt{a^2+x^2}+\log \left|x+\sqrt{a^2+x^2}\right|$

B

$\sqrt{a^2+x^2}-a^2 \sinh ^{-1} \frac{x}{a}$

C

$\frac{x}{2} \sqrt{a^2+x^2}+\frac{a^2}{4} \log \left|x+\sqrt{a^2+x^2}\right|$

D

$\frac{x}{2} \sqrt{a^2+x^2}-\frac{a^2}{2} \sinh ^{-1} \frac{x}{a}$

AP EAPCET Subjects

Browse all chapters by subject