Mathematics - Calculus - Integral - Introduction to integrals - Find Antiderivatives

12 problems: (1-4) Power rule: ∫x⁵dx, ∫4x³dx, ∫1/x²dx, ∫√x dx. (5-6) Sums: ∫(x²-3x+7)dx, ∫(2eˣ+3/x)dx. (7-8) Trig: ∫sin(x)dx, ∫(cos(x)-sin(x))dx. (9-10) Initial value: 'f'(x)=6x-2 and f(0)=5. Find f(x).' (11-12) Verify by differentiating: 'Show that d/dx[x⁴/4-2x²+C] = x³-4x.'