Business Calculus
Find ∫7xdx \(\int\) 7^x \, dx .
Evaluate the integral: ∫ex2ex+9dx \(\int\) \(\frac{e^{x}\)}{2e^{x} + 9} \, dx
Evaluate the integral: ∫excos(ex)dx{\(\displaystyle\[\int\) e^{x}\,\(\cos\]\left\)(e^{x})\,dx\(\right\).}
Compute the indefinite integral ∫sech(x2)dx{\(\displaystyle\)\(\int\[\operatorname{sech}\)\!\(\left\)(\(\dfrac{x}{2}\]\right\))dx}.
A factory consumes electricity at a rate of 1500 MJ1500\(\text{ MJ}\) per year at t=0 t = 0 years. The consumption rate increases by 2.1% 2.1\% per year. What is the total energy (in units of MJ\(\text{MJ}\)) consumed by the factory over the next 5 5 years, starting from t=0 t = 0 ? Round to the nearest hundred MJ\(\text{MJ}\).
