Use integration by substitution to determine the indefinite integral for the following function involving a product. Check the answer on your own.

Selecting as u the function in which the independent variable is raised to the higher power in absolute value, let u = x3 + 5. Then du/dx = 3x2 and, solving algebraically for dx, dx = du/3x2.
Substituting these values in the original integrand to reduce it to a function of u du/dx,

Integrating with respect to u with the simple power rule,

Then substituting x3 + 5 for u,

Transcribed Image Text:

60x2(x+5) dx