Find f(x), assuming that f(x) ex dx = f(x) e' - 8x-1 ex dx. (Use C...
Evaluate the integral | -9 sin?(x) cos”(x) dx Note: Use an upper-case "C" for the constant of integration.
the Evaluate the integral by revising order of integration. aresinly) VIH (05 (x) •Cos ex) dx dy Scanned with CamScanner
Determine the following integrals T Sin(x) 1 + x² dx 2). xe 2x dx Idy dx + P(x) y = Q(x) integration factor Solve dy Ex dx sinx the following differenti al equations ... + 3y t? dy F) (l+x) dx +y=vx V: eSP(x) dicas
Evaluate the indefinite integral. (Use C for the constant of integration.) (3 - 4x) dx fo Need Help? Read It Watch It Talk to a Tutor 8. [-/1 Points] DETAILS SCALCET8 5.5.010. Evaluate the indefinite integral. (Use C for the constant of integration.) I since sin(t)/1 + cos(t) dt Need Help? Read Talk to Tutor 9. [-/1 Points) DETAILS SCALCET8 5.5.013.MI. Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx...
Consider the following initial-value problem. 5 f'(x) f(1) = 17 Integrate the function f'(x). (Use C for the constant of integration.) f'(x) dx Find the value of C using the condition f(1) = 17. с State the function f(x) found by solving the given initial-value problem. f(x) Consider the following. |--145 – 03 +49) du Simplify the integrand by distributing u to each term. SO Jau du x Find the indefinite integral. (Use C for the constant of integration.) 6...
Evaluate the integral. (Use C for the constant of integration.) (4² + 5x) cos(x) dx Show My Work (Required)
Please answer number 2 & not number 1 Ln(x) e = x Exercises VI 1. (Bonus) Prova 2. Find the general solution. z = 7? COS (*) = 2ze (a) y + 4y (b) y + sin(x) y dy + xy dx (d) dy + 2y (e) dx (c) 2 χ 8x² cos? (x) dx ت = ay dy sin (3x) dx - Х dy = Ln(y) dy
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
ENG 1005 ASSIGNMENTI QUESTIONS (1) Use integration by parts to calculate sin(In(x) dx and Here, In is the natural logarithm. cos(In(x))dx. [5 marks (2) (a) Use integration by parts on sinh(t) sinh(t)dt and the identity cosh (1) = 1+sinh'in to calculate the integral of sinh(r). (b) Calculate the integral of sinh(r) by expanding the product and then integrating, Confirm that you get the same answer as in part (a). (e) Show that if x is a positive real number, then...
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.