Question

integral de (2/x⁴-5.x+senx) dx

Answer 1

Olá!

$\\ \displaystyle \mathsf{\int \frac{2}{x^4} - 5x + \sin x \ dx} \\\\\\ \mathsf{\int 2x^{- 4} \ dx - \int 5x \ dx + \int \sin x \ dx =} \\\\\\ \mathsf{2 \cdot x^{- 4 + 1} \cdot \frac{1}{- 4 + 1} + c_1 - 5 \cdot x^{1 + 1} \cdot \frac{1}{1 + 1} + c_2 + (- \cos x + c_3) =} \\\\\\ \boxed{\mathsf{- \frac{2}{3x^3} - \frac{5x^2}{2} - \cos x + C}}$