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(4) Evaluate the integral. (Hint: Substitution Rule] |(2 (2x + 3)(2x2 + 6x + 1)8dx
(1) Evaluate the integral. (Hint: Substitution Rule) (2.1 + 3)(2x + 6x + 1)*der
Evaluate the integral. (Hint: Substitution Rule] ſ(27 (2.c + 3) (2.2 +6x + 1)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 =
[ 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
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 5*7* (sins 2x)(cos 2x) dx by substitution method.
Evaluate the integral Hint: trigonometric substitution can be useful
substitution F2,-)) 13,6] y = 2x - 4 6x - 3y = 12 y = 2x - 4 6x - 3y = 12 son, 2012
2- Evaluate the following integral: 0.4 | Vcos(2x)dx a) By calculator, b) Composite trapezoidal rule (with segment no. n=4) and determine the true relative error, c) Composite Simpson's 1/3 with n =4 and determine the true relative error, d) Simpson's 3/8 rule determine the true relative error, e) Composite Simpson's rule, with n =5, determine the true relative error.
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx