Characterize the below integrals (definite or indefinite) and solve the integrals: a. (5x2 + 7x4 +...
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
Characterize the below integrals (definite or indefinite) and solve the integrals: a. S(-10x5 + 3x2 - 5x)dx b. S(-8VxG)dx c. 5 (3x6 - 11) dx d. S(12e* - 9 sin x + 5x-2)dx e. ; (*********=-)dx
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: 9+x2 dx b. J v1+ cosx + sinxdx
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a. S(-11(5x + 7)5)dx b. S(4V7x - 1)dx C. J-8 siz3x cosx) dx d. S -6 dx 2x+3 e. S(-5sin(9x - 4))dx
4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx c. S x cos(3x) dx d. S 6x sin(3x) dx e. 2y In y dy
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
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
need help with these two please 3. Evaluate the definite integrals: a. L2x dx b. 4. Evaluate the definite integral: 5x2(4x3 – 2)* dx $ 5x(4x2 -
9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1* 2 t Hint: Apply Part 1 of the Fundamental Theorem of Calculus and the Chain Rule. (b) /6 sin 20 de (sin2 @ + 2)2 -
Given the graph of f(t), below, compute the indicated definite integrals. (4,2) 3 4 5 6 (a) ["f(x) dx (b) ſs(e) de (e) $* $(x) dx (a) [5(e) de