Consider the definite integral V11 dæ. - 2x -3 The most appropriate substitution to simplify this integral is u = -1/2 Σ Then du = -7^(1/2)+17^(1/2) E dx, and so dx =c du, for the constant c = After making these substitutions and simplifying we obtain the integral du where f(u) = Σ a = Σ This definite integral, when evaluated, is Σ

Q: 4x² 49 dx | Evaluate the integral: (A) Which trig substitution is correct for this integral? O x =…

A: A) This step can be performed by intuition or by substituting each given option into the given…

Q: J a²/æ² + 9 (A) Which trig substitution is correct for this integral? Ox = 9 tan(0) Ox = 3 sin(0) Ox…

A: Answer

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: Use the Change of Variables Formula to evaluate the definite integral. cos* (x) sin(x) dx (Use…

A:

Q: Evaluate the integral: fa°/25 – 2°dz (A) Which trig substitution is correct for this integral? Oz =…

A: The derivative of a function y=f(x) is the measure of the rate of y with respect to x. According to…

Q: Use the method of substitution to find the following indefinite integral. sin (9z-5)dz J sin…

A: We substitute 9z-5=t and then use the result  that integration of sinx is -cosx

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: Note: We know that integration of x^n is given as x^(n+1)/(n+1) + C. Where n not equal to -1 and C…

Q: 24x2 dz 25 2 Evaluate the integral: - (A) Which trig substitution is correct for this integral? O x…

A: It is given that ∫24x225-x2dx. Let x=5sinθdx=5cos θdθ ∫24x225-x2dx=24∫25sin2θ25-25sin2θ5cosθdθ…

Q: Find the indefinite integral. (Use C for the constant of integration.) Original Integral Rewrite…

A:

Q: Use a change of variables or the table to evaluate the following definite integral. n/ 12 cos 2x dx…

A: =?