Choose the correct options for the following questions.
$\int_{a}^{b} f(x)dx$ is equal to:
Difficulty: Easy
A:
$-\int_{a}^{b}f(x)dx$
B:
$-\int_{b}^{a}f(x)dx$
C:
$\int_{b}^{a}\frac{1}{f(x)}dx$
D:
$-\int_{a}^{b}\frac{1}{f(x)}dx$
If $\int_{0}^{\frac{\pi}{2}} \sin^{2}xdx=\frac{\pi}{4}$ then $\int_{-\pi}^{\pi}2\sin^{2}xdx$ equals:
Difficulty: Easy
A:
$\pi$
B:
$\frac{\pi}{2}$
C:
0
D:
$2\pi$
$\int_{0}^{2} 2e^{2x}dx$ is equal to:
Difficulty: Easy
A:
$\inty$
B:
0
C:
$e^{4}$
D:
$e^{4}-1$
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