> restart; > int((3*t^2+2)^2,t); 4 t + 9/5 t5 + 4 t3 > int(t*(2*t^2 + 2)^3,t); t 8 + 4 t6 + 6 t4 + 4 t 2 > int((5*t + 2)^(1/2),t); 2/15 (5 t + 2)3/2 > int(t^2*(2*t^3 + 2)^(-1/2),t); 1/3 > √ 2 t3 + 2 int(cot(u),u); ln (sin (u)) > simplify(int(tan(5*r),r)); 1/10 ln 1 + (tan (5 r))2 > int(1/(1+6*r),r); 1/6 ln (1 + 6 r) > int(t/(t^2 -1),t); 1/2 ln (t − 1) + 1/2 ln (t + 1) > int(cos(omega*t + phi),t); sin(ω t+φ) ω > int(sin(omega*t + phi),t); − cos(ωωt+φ) > int(x*exp(-x^2),x); −1/2 e−x > int(exp(cos(phi))*sin(phi),phi); −ecos(φ) 2