Choose the correct options for the following questions.
If f(x)=f(a+x) then $\int_{a}^{ka} f(x)dx$ equals:
Difficulty: Easy
A:
$(k+1)\int_{b}^{a}f(x)dx$
B:
$k\int_{0}^{a}f(x)dx$
C:
$(k-1)\int_{0}^{a}f(x)dx$
D:
0
The value of $\int_{a}^{b}\frac{|x|}{x}dx$ is:
Difficulty: Easy
A:
|b|-|a|
B:
|b-a|
C:
\frac{|a|}{|b|}$
D:
None
The value of $\int_{0}^{\frac{\pi}{2}} \cos^{2}xdx$ is:
Difficulty: Easy
A:
$\frac{\pi}{2}$
B:
$\frac{\pi}{3}$
C:
$\frac{\pi}{4}$
D:
$\frac{-\pi}{3}$
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