1. Make a substitution to express the integrand as a rational function, then use the method...
please show work because I'm confused. calc2 4. Make a substitution to express the integrand as a rational function, then use the method of partial fractions to evaluate the integral. 2e" 4e +3 da.
Express the integrand as a sum of partial fractions and evaluate the integral. 48x2 s dx (x-24)(x+8)2 Express the integrand as a sum of partial fractions. S 48x? dx= (x - 24)(x+8)2 SO dx Evaluate the indefinite integral. 48x? (x - 24)(x + 8)2 dx =
14) Express the integrand as a sum of partial fractions and evaluate the integral
Show all necessary steps needed to find final answer Express the integrand as a sum of partial fractions and evaluate the integral. s 5x+33 d. x2 +62+5
Answer is B, please show and explain steps Thank you Express the integrand as a sum of partial fractions and evaluate the integral. 3x + 21 x2 + 7x + 10 - dx A) in) (x + 2)3 70.55+ (x + 2) 61 in 515
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method of Integration by Parts to rewrite the following integral. (You do not need to fully evaluate the integral.) | «* sin(x2) dr. (c) Find the form of the partial fraction decomposition of 2.r2 - 3.c + 77 (x - 1)(x² +2) (You do not need to solve for the coefficients.)
You are given the following integral: St 2. - 4 ·da 22 +1 On a piece of paper evaluate this integral. Use your working to choose from the options below: Steps to evaluate this integral would require: A Substituting u = :22 - 4, B. Factorising a? +1 and then splitting the integrand into partial fractions, C. Rewriting the numerator of the integrand as }(4x - 8), D. Splitting integrand into * - ** E Substituting u F. The answer...
(5.6.21 from Stewart and Day) If a factor of the denominator of a rational function is an irreducible quadratic, such as x2+1, the corresponding partial fraction has a linear numerator. For instance, Bx+c f(x) = 2x2+x+1 Determine the values of A, B, and C and use them to evaluate x2+1 x(x2+1) f(x)dx. Use C as your constant of integration, and don't forget to use absolute value bars where needed. | axlox f(x) dx = (5.6.20 from Stewart and Day) If...
Problem 13. You don't have to use the Weierstrass substitution for trigonometric integrals. Sometimes you can find a substitution that works more easily (fewer steps) than the Weierstrass. By "trigonometric integral", I mean the integral of a rational function of sine and cosine. You can use the Weierstrass substitution with integrals like SVsin(@) de, but you won't get an integrand having an "elementary" antiderivative. However, the Weierstrass substitution always yields an integral we can evaluate explicitly, whereas an ad-hoc flavor-of-the-day...