1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int_0^\pi x\left(\sin ^2(\sin x)+\cos ^2(\cos x)\right) d x=$$

A
$$\pi^2$$
B
$$\pi^2 / 2$$
C
$$2 \pi$$
D
$$\pi / 4$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\int_0^a {{{dx} \over {4 + {x^2}}} = {\pi \over 8}} $$, then the value of a is equal to

A
1
B
2
C
3
D
4
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int_1^2 {{{{x^3} - 1} \over {{x^2}}}} $$ is equal to

A
$${5 \over 3}$$
B
$${3 \over 5}$$
C
1
D
$$-$$1
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\int_0^{\pi / 2} \tan ^n(x) d x=k \int_0^{\pi / 2} \cot ^n(x) d x$$, then

A
$$k=1$$
B
$$k=2$$
C
$$k=\frac{1}{2}$$
D
$$k=3$$
AP EAPCET Subjects
EXAM MAP