(1 point) Calculate the integral below by partial fractions and by using the indicated substitution. Be...
Use substitution to find an indefinite integral with Question What is / -4x(3x2 – 1)?dx? Do not include the constant "+C" in your answer. For example, if you found the antiderivative was 2x + C, you would enter 2x. Provide your answer below: MORE INSTRUCTION Cantant attribution
Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 1 14-x14 - x? SI S dy dz dx to dz dy dx 0 0 0 1 14-y14 - x2 ss S dy dz dx = SSS dz dy dx = 0 0 0 (Simplify your answer. Use integers or fractions for any numbers in the expression.)
use partial fractions to find the integral Apr zu at 12:54pm Instructions Question 16 3x3 - 28x² + 39x + 82 dx Use partial fractions to find the integral x2 - 10x +21 O 3x+2 +31n|x = 71 – 7Inļx - 3/+C ** +27 – 31n\v – 71 + 7|n|x – 3/+C 3x2 + 2x + 3 In|x - 7| + 7\n\x - 31+C x2 + 2x + 3 in [x - 7| - 7|n|x - 31+C 3x + 2x...
x2-x+6 x3 +3x 7./Use the Apart command to decompose i into partial fractions. Question: which case is this?? Now find the antiderivative of each fractional expression by hand. Note: you will need to split apar of your fractions even further. You may use any of the shortcuts mentioned in Appendix G work below. t one . Show all x2-x+6 x3 +3x -11xs+914-222xx+39x+2 dx 8. Find the antiderivative: 3x6 -11x5 +9x4 -2x3 -x2 +9x -7 Make use of the Apart command,...
i will be appreciated if you try to write a bit clearly:) thank you! Find the indefinite integral. 2x(x2+12)* dk 14 2x(x2 + 12) dx = (Use integers or fractions for any numbers in the expression. Use C as the arbitrary constant) Find the indefinite integral. 2x(x2+12)* dk 14 2x(x2 + 12) dx = (Use integers or fractions for any numbers in the expression. Use C as the arbitrary constant)
integrate with your best choice (substitution rule, by parts, or partial fractions) d) ( z*In(a)dx e) / ** +20 – 12 I x(x2 - 1 dx
(1 point) For each of the following integrals, select an integration technique that could be used to evaluate the integral. The same answer may occur more than once. x-4 dx 2x2 + 3x - 2 1 dx (4 - x2) sinh*(2x) dx l [ sinh | 28#3x-2 2x2 + 3x - 2 dx x2 - 4 Use a substitution u = 2x^2 Use a substitution x = 2sin(t) Use hyperbolic double angle formulae Use hyperbolic identities and a substitution u...
a. Evaluate the integra 2.22 (2:+ 1) dx by two methods, as prompted below. A. First Method: Rewrite the integral by multiplying out the integrand: | 28? (z° +1) dx = | 223 +2 % du Then evaluate the resulting integral term-by-term: | 2.7° (zº+1) dx = (x+1)+c a B. Second Method: Rewrite the integral by using the substitution w = 2° +1: | 27° (z" + 1) dx = | +0 . dw Evaluate this integral (and back-substitute for...
Evaluate the following integral using the partial fractions technique. Give you answer in exact form, in terms of In(x-7), In(x2+1) and arctan(x), ignoring the integration constant. For help on integration methods click here. 3+3 dc
10. (16) Find each indefinite integral using u-substitution: a. (x*(1-2x°)* dx b. fxcos (x2 - 1) dx