5.4 S sin (et) S (x+x) dx f. ) cos(x) S (6x²-x-1) dx -0.1
determine whether each integral is convergent or divergent 1- 1/(x-2)^3/2 dx, limits ( infinite to 3) 2- (1/3-4x)dx, limits (0 to -infinite) 3- e^(-5p) dx, limits ( infinite to 2) 4- (x^2/(sqrt(1+x^3)))dx , limits ( infinite to 0) 5- lnx/x dx , limits(infinite to 1) 6- 1/(x^2 +x)dx , limits (infinite to 1) 7- 3/x^5 dx ,limits (1 to 0) 8- dx/(x+2)^1/4 , limits (14 to -2) 9- 1/(x-1)^1/3 , limits (9 to 0) 10- e^x /((e^x) -1), limits (1...
SIDE A Part I. TRUE OR FALSE QUESTIONS. 1. S* x sin(x) dx = x = x So* sin(x) dx. A. False B. True 2. / ze*dx + ***dz - / redz A. True B. False 3. 5* 5 sin(x) dx = 5 * sin(x) dx. A. True B. False 4. ds "ninta) dir = * = sin(a) dår. A. False B. True 1 5. یة x2 dx = 0 3 B. False A. True A. False B. True *...
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 following: csc(x) cot(x) dx i) s 2-csc (x) ii) S x sin(4x) iii) 6. x sin(x2) dx iv) x x + 3y = 3
13. Evaluate, S sin 5x cos x dx. Also prove that, 52" sin mx cos nx dx = 0 Using reduction formula *****
Determine the following anti-derivatives: Problem 1: S (2.² + 6x - 5) dx Problem 2: S(cos(x) - sin(x)) do Problem 3: 5 (v + + + 2 **) do Problem 4: S (3e" + ) dx
∫(sin x + sinh x) dx
Using reduction formula ***** 13. Evaluate, S sin 5x cos x dx. Also prove that, 53.4 sin mx cos nx dx = 0
6. Evaluate the integralſ cos3x sin x dx 7. Evaluate the integral S Vx2 + 9 dx