1) If $\int_0^7 f(x)dx = 12$ then $\int_0^7 3f(x)dx = 36$. [T / F]
2) If $f'(x)$ is continuous on $[1, 8]$, then $\int_1^8 f'(x)dx = f(8) - f(1)$. [T / F]
3) If $f(x)$ is continuous on $[0, \pi/3]$, then for $0 < x < \pi/3$ we get $\frac{d}{dx} \int_0^x f(t) dt = f(x)$. [T / F]
4) $\int x^3 dx = 3x^2$ [T / F]
5) $\int cos(x)dx = -sin(x) + C$ [T / F]
6) $\int_1^1 0 dx = 0$. [T / F]