Question 3. Evaluate the definite integral (show your steps!). T PV/2 e sin(x2) dx
(1 point) Evaluate the definite integral. | << + 1)e+2+28-3 dx =
Evaluate the definite integral. (4x + sin x) dx (1) + + 73/2 (2) 12 - 2/2 (3) 212 + 2 (4) -1
Please show all workings and steps for all three questions: Evaluate the definite integral TT 2 a) 4 + 5 sina x dx sin2 x 4 e b) 6 Vin x dx х 1 ܢܕ c) | x2v2x – 1dx HIN
13. Use the limit definition of the definite integral to evaluate 2x2 + 3) dx (Note: Use good summation and limit notation and show all steps.)
5. Evaluate each definite integral. 5.2 dx 2.22 [5] /2 [5] (b) [ COS C sin? C dx 1/4
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
Please show all workings and steps for question 1: 1. Evaluate the indefinite integral. 3 - a) [(5x2 – 2x) +6x*) dx х b) \ x2 -dx 4x3 + 1 dx 1 + (ex)2
Evaluate the definite integral by the limit definition. + 2) dx
Use the properties of the definite integral in your solutions. 1. Suppose that [*r(e)dx = 5, [° f(a)dx = -3, [*9(a)dx = -1, and ſº o(e)dx = 2. Evaluate Jo each of the following definite integrals. (a) %* ((e)+ 9(e) de (b) [" (F(*) + 9(a) do (e) ſ (sca) – ola) de (a) " (45(e) – 39(a) de
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2. 3 dx 2 (Type an exact answer.)