Tolong dong bantuin kak
Integral
1. ʃx4 - 2x3 + 4x2 - 2x + 3) dx
2. ʃ (2x + 3) (3x - 1) (x +2) dx
3.ʃ x (x2 + 2)4 dx
4.ʃ x √2x7 - 3 dx
5. ʃ√1 - 3x2 dx
Integral
1. ʃx4 - 2x3 + 4x2 - 2x + 3) dx
2. ʃ (2x + 3) (3x - 1) (x +2) dx
3.ʃ x (x2 + 2)4 dx
4.ʃ x √2x7 - 3 dx
5. ʃ√1 - 3x2 dx
#F
1. ʃ (x⁴ - 2x³ + 4x² - 2x + 3) dx
= ¹/₅ x⁵ - ²/₄ x⁴ + ⁴/₃ x³ - ²/₂ x² + 3x + c
= ¹/₅ x⁵ - ¹/₂ x⁴ + ⁴/₃ x³ - x² + 3x + c
2) ʃ (2x + 3) (3x - 1) (x +2) dx = ʃ 6x³ +19x² +11x - 6 dx
= 6/4 x³ +19/3 x³+11/2 x²- 6x+ c
= ³/₂ x³ + ¹⁹/₃ x³ + ¹¹/₂ x² - 6x + c
3.ʃ x (x² + 2)⁴ dx = (x/2x) ( x²+2)⁵ (1/5) + c
= (1/2)(1/5)(x²+4)⁵+ c
= 1/10 (x² + 4)⁵ + c