Question

Integration of 20x^4+16x^3-5x+1/5x+4

Answer 1

x^4 - x + \ln|5x+4| + C

Answer 2

The given expression is interpreted as a rational function. Polynomial long division is performed to simplify the integrand into a polynomial and a proper rational function. Each resulting term is then integrated using standard integration formulas: power rule for polynomials and substitution for the logarithmic term.