Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t) dt

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.

Find the indefinite integral. (Use C for the constant of integration.) J x + 5 16 - (x-4)² dx

Use an appropriate u-substitution to evaluate the indefinite integral / 3sin (7t)cos(7t)dt. Use Cfor the constant of integration. Answer