Calculus  evaluating integrals
posted by Amy on .
I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated.
Evaluate the integrals:
1.) ∫ (22cos^2x) dx
2.) ∫ cot3x dx
3.) ∫ ((e^(sqrt x) / (sqrt x) dx))

1.) ∫ (22cos^2x) dx
= ∫ (22cos^2x) dx
= ∫ (1(2cos^2x1)) dx
= ∫ (1cos 2x) dx
= x  (1/2)sin 2x + c
2.
∫ cot3x dx
= ∫ cos3x/sin 3x dx
= (1/3) ln(sin 3x) + c
3.
∫ (e^√x / √x dx
= ∫ e^(x^(1/2)) (e^(1/2)) dx
= 2 e^(x^(1/2)) + c or 2 e^√x + c