Answer to Question #98136 in Calculus for Jun

Question

Evaluate The integrals.

5. Integral of t^2 + 3t + 1/t^2 dt
6. Integral of (2x^3-1)(1/ x^2 + 5)

Answer 1

$5.\smallint$ (t²+3t+1/t²)=t³/3+3t²/2-1/t+C;

6. $\smallint$ (2x³-1)(1 /x²+5)dx=$\int$ (2x+10x³-1/x²-5)dx=2x²/2+10x⁴/4+1/x-5x +C