∫ 1/(1+x²) dx = arctan(x) + C
∫ 1/√(1-x²) dx = arcsin(x) + C
∫ x e^x dx = e^x (x-1) + C [in-
tegration by parts]
∫ ln(x) dx = x ln(x) - x + C [inte-
gration by parts]
∫ sin²(x) dx = (x/2) - (sin(2x)/4) +
C
∫ cos²(x) dx = (x/2) + (sin(2x)/4)
+C
∫ 1/√(1-x²) dx = arcsin(x) + C
∫ x e^x dx = e^x (x-1) + C [in-
tegration by parts]
∫ ln(x) dx = x ln(x) - x + C [inte-
gration by parts]
∫ sin²(x) dx = (x/2) - (sin(2x)/4) +
C
∫ cos²(x) dx = (x/2) + (sin(2x)/4)
+C