Tolong dijawab…,…
integral
∫x^n dx = 1/(n + 1) x^(n + 1) + C
misal :
u = 3x + 7 → du = 3 dx
3x = u – 7
6x = 2u – 14
∫6x(3x + 7)⁸ dx
= ∫u⁸(2u – 14) du
= ∫(2u⁹ – 14u⁸) du
= 2/10 u¹⁰ – 14/9 u⁹ + C
= 1/5 (3x + 7)¹⁰ – 14/9 (3x + 7)⁹ + C
Tolong dijawab…,…
integral
∫x^n dx = 1/(n + 1) x^(n + 1) + C
misal :
u = 3x + 7 → du = 3 dx
3x = u – 7
6x = 2u – 14
∫6x(3x + 7)⁸ dx
= ∫u⁸(2u – 14) du
= ∫(2u⁹ – 14u⁸) du
= 2/10 u¹⁰ – 14/9 u⁹ + C
= 1/5 (3x + 7)¹⁰ – 14/9 (3x + 7)⁹ + C