Question

Calcule a integral indefinida

w) $\int\ {}(5~cos~x~-~4senx) \, dx$

Answer 1

Oi Lucas

∫ (5cos(x) - 4sen(x) dx  = 5sen(x) + 4cos(x) + C 

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Answer 2

$\sf \displaystyle \int \:5cos \left(x\right)-4sin \left(x\right)dx\\\\\\=\int \:5cos \left(x\right)dx-\int \:4sin \left(x\right)dx\\\\\\=5sin \left(x\right)-\left(-4cos \left(x\right)\right)\\\\\\=5sin \left(x\right)+4cos \left(x\right)\\\\\\\to \boxed{\sf =5sin \left(x\right)+4cos \left(x\right)+C}$