1) ∫(2x+9)^2 dx = (2/3)(2x+9)^3 + C = (2/3)(2x+9)(2x+9)(2x+9) + C
2) ∫(3+x)sinx dx = -(3+x)cosx + ∫cosxdx = -(3+x)cosx + sinx + C
3) ∫(10x^2-9)^5x dx = (1/5)(10x^2-9)^6 + C = (1/5)(10x^2-9)^6 + C
1) ∫(2x+9)^2 dx = (2/3)(2x+9)^3 + C = (2/3)(2x+9)(2x+9)(2x+9) + C
2) ∫(3+x)sinx dx = -(3+x)cosx + ∫cosxdx = -(3+x)cosx + sinx + C
3) ∫(10x^2-9)^5x dx = (1/5)(10x^2-9)^6 + C = (1/5)(10x^2-9)^6 + C