Tentukan integral nya Ka
Matematika
all421
Pertanyaan
Tentukan integral nya Ka
1 Jawaban
-
1. Jawaban DB45
Integral Tak Tentu
gunakan rumus ∫ a xⁿ dx = a/(n+1) xⁿ+¹ + c
a. ∫ 2 x² dx = 2/(2+1) x²⁺¹ + c = 2/3 x³ + c
b. ∫- 6x⁵ dx = -6/(5+1) x⁵⁺¹ + c = -6/6 x⁶ + c = - x⁶ + c
c. ∫ x¹² dx = 1/(12+1) x¹²⁺¹ + c = 1/13 x¹³ + c
d. ∫ -10x³⁹ dx = -10/(39+1) x³⁹⁺¹ + c = 10/40 x⁴⁰ + c = 1/4 x⁴⁰
e. ∫- 4 x⁻⁵ dx = -4/(-5+1) x⁻⁵⁺¹ + c = -4/-4 x⁻⁴ + c = x⁻⁴ + c
f. ∫ 20 x⁵ dx = 20/(5+1) x⁵⁺¹ + c = 20/6 x⁶ + c
g. ∫5/x⁶ dx = ∫ 5 x⁻⁶ dx = 5/(-6+1) x⁻⁶⁺¹ +c = 5/-5 x⁻⁵ + c
= - x⁻⁵ +c
= -1/(x⁵) + c
...