(10 pts) 1. Evaluate or determine the definite integral: Ni (a) (b) Seat (c) / xe...
9,10,11
-/1 POINTS SCALCET8 5.5.057. Evaluate the definite integral. 10. -/1 POINTS SCALCET8 5.5.059. Evaluate the definite integral. 11. |-/1 POINTS SCALCET8 5.5.060. Evaluate the definite integral. xe-x2 dx
Find f(x) if f'(x) = 177 and f(1) = 1 Evaluate the definite integral -, xe** dx
Question 10 Set up the definite integral and evaluate the definite integral to determine the area of the shaded region. Show all work and provide your response in the box below. The curve is given by f(x)= x3 + 2x2 - 5x+3. If you cannot view the image below, please click on this link. HHHHHH HHHHHHH 5+ HH HHHHH HHH -7 -6 -5 -4 -3 -2 -1 0
5. Evaluate each definite integral. 5.2 dx 2.22 [5] /2 [5] (b) [ COS C sin? C dx 1/4
Evaluate the definite integral. ∫6 to 1 t^4 ln(4t)dt
1. Use integration by parts to evaluate the integral: ∫ 6z
cos(5z) dz
Use integration by parts to evaluate the definite integral. 5t2 In tdt Use integration by parts to evaluate the definite integral: 5se3ds J0.2 Preview Report answer accurate to 3 decimal places. A particle that moves along a straight line has velocity v(t)e3 meters per second after t seconds. How many meters will it travel during the first t seconds (from time-0 to time-t)? 2-3t Evaluate the indefinite...
1. Calculate the definite integral 1 (229-33 +5) de (a) Find an antiderivative F(x)= (b) Evaluate F(2) F(2) = (c) Evaluate F(1) F(1) = (d) Calculate the definite integral 3x + 5) dx = 2. Calculate the definite integral. Give exact answers. Зе -Te du (a) Find an antiderivative F(*) = (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (d) Calculate the definite integral.
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 -
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.)
8. Write down a definite integral (but do not evaluate) that produces the following limit of sums using the definition of definite integral: b) lim 61 k-l
8. Write down a definite integral (but do not evaluate) that produces the following limit of sums using the definition of definite integral: b) lim 61 k-l