(Solved): 1. Evaluate each of the indefinite integrals using basic antiderivative formulas: a) \( \int \frac{ ...

1. Evaluate each of the indefinite integrals using basic antiderivative formulas: a) \( \int \frac{4 t 2^{t}-\sqrt{t}+t \sin t-1}{t} d t \) Hint: I highly recommend simplifying the expression first! b) \( \int\left(5 \sec ^{2} x+\frac{3}{x^{2}+1}\right) d x \) 2. In your own words, explain the difference in meaning between a Definite Integral and an Indefinite Integral.