all these integrals are solved by using integration by parts
Evaluate each of the following integrals Z 2z Je cos dz i. 4/ (Xcos (4x)dx 2...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
C. Involving Partial fractions 4 z+ 2z + 3 S x2 + 5x – 14 dx in S2-6)(22+4) dz 4x - 11 dx iv) *342 + 4)(22 +7) 8 +t+6t2 - 12t3 dt.
Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
Problem 2. Evaluate each of the following integrals. a) In(4x) dx 1 4x+1 dx ex b) Jo c) S (5x-2)e 6x dx
Evaluate each of the following integrals, if possible. If it is not possible clearly explain why it is not possible to evaluate the integral. i. 7sin (t)-2cos (t)dt 2 edy ii. y 2t t>1 fdt, where f(t) = {1-31 ts1 12x-10 dx iv
evaluate the following integrals. delvelop h(z)= z/((z+1)(z-1)) into a laurent series, in the followinf domains. 7) s r=4121 = { Y 2z-1 dz z?(??+1) de | +į sene - 8) 5" Sol: 40 2T 9) COS O de 3 tsen o O ) 0 ( 2 + 1 / 3 3ے 21- او(ح1
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
I need help with #2 and # 26 --> evaluate the integrals. EXERCISES 12.3 Fvaluate the integrals in Problems 1-32. 1. 33* dx (2.) S4e4x dx 3. Sex dx 4. Sex dx 5. / 1000e0.1* dx 6. | 1600e0.4x dx 7. 1840e - 0.7* dx 8. S 250e -0.5x dx 10. fxe2x dx Sxe3xdx dx 22. 1 78² 4x² - . dx Ix 4x3 + 2x I x² + x² ur 7 da -dz 28. [ (x + 2) dx...
Evaluate the following indefinite integrals. Show your work please! a) ∫ tan^3 4x dx b) ∫ sec^4 3x dx