Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use 𝐶 for the arbitrary constant. Absorb into 𝐶 as muсh as possible.) ∫(88𝑡^3−44𝑡^−3)𝑑𝑡

Answer 1

integral of 88t^3 -44t^-3 -3

= 88t^4/4 - 44t^-2/-2 - 3t + C

= 22t^2 +22/t^2 -3t + C

general rule is the integral of at^n = (at^(n+1))/(n+1)

increase the exponent by 1, n to n+1, and divide by that same n+1