Question

Aplicando as regras,ache a integral das funçoes
A)∫x^5 dx
B)∫x^(-7)dx
C)∫(1/X3)DX
D)∫(3/X4)DX
E)∫(-3/X2)DX
F)∫∛X5DX
G)∫1/√XDX
H)∫X8/2DX

Answer 1

Fórmula da integral indefinida:

$\int{x^n}\, dx=\frac{x^{n+1}}{n+1}+C$

A)$\int{x^5}\,dx=<span>\frac{x^{6}}{6}+C$

B)$\int {x^{-7}} \,dx=-<span>\frac{x^{-6}}{6}+C$

C)$\int{x^{-3}}\,dx=-<span>\frac{x^{-2}}{2}+C$

D)$\int{3x^{-4}}\,dx=-3<span>\frac{x^{-3}}{3}+C$

E)$\int{-3x^{-2}}\,dx=+3<span>\frac{x^{-1}}{1}+C$

F)$\int{x^{3/5}}\,dx=<span>\frac{x^{8/5}}{8/5}+C$

G)$\int{<span>x^{-1/2}}\,dx=</span><span>\frac{x^{1/2}}{1/2}+C$

H)$\int{x^{8/2}}\,dx =<span>\frac{x^{5}}{5}+C$