Mathematics - Calculus - Integral - Definite integrals and area - Compute Definite Integrals

10 problems: (1-3) Evaluate: ∫[0,2]3x²dx, ∫[1,e](1/x)dx, ∫[0,π]sin(x)dx. (4-5) Area under curve: area under f(x)=x³ from 0 to 2; area under eˣ from 0 to 1. (6-7) Area between curves: between y=x and y=x² from 0 to 1; between y=x² and y=2x from 0 to 2. (8) Average value of f(x)=x² on [0,3]. (9) 'Tota