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9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1*...
6.Evaluate the following indefinite and definite integrals 6. Evaluate the following indefinite and definite integrals. (a) ſe=v2+3e* dx secat 1+tant
Part 3: The derivative of a definite integral and the chain rule Suppose dt. Use the Fundamental of Theorem of Calculus to calculate 9 +t / Suppose F(x) = f* (510) dt. Use the Fundamental of Theorem of Calculus to calculate on (F(x?). (F(x)) = C
10. (26pts) Find each of the definite integrals, indefinite integrals, and derivatives. 2 dx .22 5) / see?zda (7 - cos x) dc (d) dc sin (x2 – 4) dt (e) ["47" (3+z")" dx () /22"/+ 2 du
9. (12) Find the following indefinite integrals: a. {(x² +3x+7) dx b. dt
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (-10x5 + 3x2 - 5x)dx b. S(-8Vx)dx C. SCEx _17) ax d. S(12e* - 9 sin x + 5x-2)dx 5 (6********=)dx
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 3 dt t 1 2 dt = t 1 (Type an exact answer.)
1. Evaluate each of the following indefinite integrals. 6 Idx b. S [2 cost – 5 sin t]dt x*- x -dx c. d. I cotx sec?x dx
1. Evaluate each of the following definite integrals. a. 529,-zdy b. Sonata dx 2. Integrate. a. sec? tane de b. S tanht dt cosht
1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For indefinite integrals give your final answer in the variable x. Show work. THE WORK YOU SHOW MUST BE WRITTEN CORRECTLY. A. $()(**)dk 1. Continued. - B. -dx C. [vcosô sinº Odo
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 6 dx S √1-x² 0 V3 2 6 dx 5 0 V1 - (Type an exact answer.)