Answer to Question #179136 in Calculus for Michael Faustino

Question

Evaluate the indefinite integral in each item

1. ∫(sin 3x + cos 2x) dx
2. ∫sin³ x dx
3. ∫cos⁵ x dx
4. ∫cos² 1/2(x) dx
5. ∫sin³ x cos³ x dx

Answer 1

$1) sin(2x)/2-cos(3x)/3+C$

$2) cos^3(x)/3−cos(x)+C$

$3)sin^5(x)/5−2sin^3(x)/3+sin(x)+C$

$4)(cos(x)sin(x)+x)/4+C$

$5)(cos(6x)−9cos(2x))/192+C$