Question

Use as regras para resolver as integrais

a) ∫▒x^4 +2x^3-5x – 1 dx

b) ∫▒〖cos⁡(x)-sen(x)+e^x 〗 dx

Answer 1

∫x⁴+2x³-5x-1 dx = ∫x⁴dx + 2∫x³dx - 5∫x dx - 1∫dx =  x⁵/5 + 2x⁴/4  - 5x²/2 - x
∫x⁴+2x³-5x-1 dx = x⁵/5 + x⁴/2 - 5x²/2 - x 

∫cos(x)-sen(x)+e^x dx = ∫cos(x)dx - ∫sen(x)dx + ∫e^xdx = sen(x) - (-cos(x)) + e^x
∫cos(x)-sen(x)+e^x dx = sen (x) + cos(x) + e^x