Find the definite integral: \$ \int_0^π sin(x) dx\$.

A) 1

B) 0

C) 2

D) 3

Divide the complex numbers: \$(6 + 3i) / (2 + i)\$.

A) 3

B) - 2

C) 6

D) 0

Find the derivative of the function \$h(x) = e^(2x) * sin(x)\$.

A) \$ e^(2x) * sin(x) + e^(2x) * cos(x) \$

B) \$ 2e^(2x) * sin(x) - e^(2x) * cos(x) \$

C) \$ 2e^(2x) * sin(x) + e^(2x) * cos(x) \$

D) \$ 2xe^(2x) * sin(x) + e^(2x) * cos(x) \$

Find the radius of convergence and the interval of convergence for the power series:

\$ ∑_(n=0 to ∞) ((-1)^n * x^n / (2^(n+1)))\$.

A) [- 2, 2]

B) [- 3, 3]

C) [- 1, 1]

D) None of these above

Evaluate \$ \int (x^2) dx\$ with limits from 1 to 3.

A) \$ 23/3 \$

B) \$ 28/3 \$

C) \$ 26/3 \$

D) \$ 35/3 \$