Indefinite Integral Examples

Business Calculus · Axiom Academy

EXAMPLE Indefinite Integral Examples Worked examples applying basic integration rules Find (4x^3 - 6x^2 + 2x - 5)\,dx dx [x^4 - 2x^3 + x^2 - 5x + C] = 4x^3 - 6x^2 + 2x - 5 ✓ Always rewrite roots and fractions as powers first: = x^ 1/2 and x^n = x^ -n Recall: e^ kx \,dx = k e^ kx + C A company's marginal cost function is MC(x) = 50 + 0.2x dollars per unit. If fixed costs are 2,000, find the total cost function C(x). In business applications, the constant C often represents fixed costs - use initial conditions to find it! Based on the example above, which approach is correct?

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