6. Evaluate each of the following integrals: 2² - x+3 (a) dar (x + 1)(x2 +...
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
Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3
208 and 212 please ❤️ Evaluate the following integrals, which have irreducible quadratic factors. 207. 2 -dx (x – 4) (x2 + 2x + 6) s . x2 208. -dx x3 – x2 + 4x - 4 209. x3 + 6x2 + 3x + 6 -dx x3 + 2x2 _ - 210. -dx (x - 1)(x2 + 2x + 2) Use the method of partial fractions to evaluate the following integrals. 3x + 4 211. -dx (x2 + 4) (3...
ex4.19 Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4) Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4)
Use Trip to evaluate the following integrals using Trig Sub 2. Use partial fractions to evaluate the following integrals dar 212 +12 3-4 dr:
3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
Using trigonometric identities and substitution, evaluate the following integrals: 1. S sin5 x dx 2. Shamrzdx 3. S V4 – 9x2dx 4. Sýsin? x dx 5. S 1 dx x2 +81
(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1) Java 2 - 25 2 dx x4V x2 – 25 (3) Explain why, using the techniques we've learned so far, we are able to calculate the integral of any rational function. (A rational function is one of the form p(x) where g(x2) p and q are polynomials.)