1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$\int\limits_2^8 \frac{5^{\sqrt{10-x}}}{5^{\sqrt{x}}+5^{\sqrt{10-x}}} d x \text { is equals to :}$$

A
6
B
4
C
3
D
5
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$\int_{-2}^0\left(x^3+3 x^2+3 x+3+(x+1) \cos (x+1)\right) d x$$ is equals to

A
3
B
4
C
1
D
0
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$\int\limits_0^\pi \frac{x \tan x}{\sec x \cdot \operatorname{cosec} x} d x$$ is equals to

A
$$\pi^2 / 4$$
B
$$\pi / 2$$
C
$$\pi^2 / 2$$
D
$$\pi / 4$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$[x]$$ is the greatest integer function not greater than $$x$$, then $$\int_\limits0^8[x] d x$$ is equal to

A
28
B
30
C
29
D
20
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