(1) Evaluate the integral. (Hint: Substitution Rule) (2.1 + 3)(2x + 6x + 1)*der
(4) Evaluate the integral. (Hint: Substitution Rule] |(2 (2x + 3)(2x2 + 6x + 1)8dx
Evaluate the integral. (Hint: Substitution Rule] ſ(27 (2.c + 3) (2.2 +6x + 1)dx
[ Vx2 + 2x – 3, Evaluate the integral: (x + 1)3 "A Hint: To start, complete the square for the quantity under the square root. 5+ 4x Evaluate the integral: | J x3 + 6x2 + 5x - dx
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Evaluate the integral 5*7* (sins 2x)(cos 2x) dx by substitution method.
Evaluate the integral integral_0 15^2x dx analytically, using the Trapezoidal Rule (1-segment), and Simpson's 1/3 Rule (1-segment). Then use the Matlab trap() function presented in class to find a solution exact to 4 decimal places. How many segments were required for this accuracy?
Evaluate the integral
Hint: trigonometric substitution can be useful
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.
x ! LTE 10:48 Quurlions < 0:1 pt 05 Detal Evaluate the integral: - 110 der T- () which trig substitution is correct for this integral? 1 - Ssin 1 - 100.06) 10 sec (0) 100 Lan!) 10ginio 1 - lüli (B1 Which integral du you oblain aller subsliluling on and implilyiny? Nolu: lo unler B, type the word 'hela. - (C? What is the value of the above integral in terms of in C () what is the value...
Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =