Find the indefinite integral.

Question

Find the indefinite integral.Hint : t/t+6 = 1 − 6/t+6 (Use C for the constant of integration. Remember to use absolute values where appropriate.)

∫t/t+6dt

Answer 1

Hey Ryan,

Use the hint to rewrite the integral as ∫1dt - ∫[6/(t+6)]dt .

You can make the substitution u = t+ 6 to do the second integral.