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Section 5.7

# Section 5.7 - (o(o 6[SCalcCC2 5.7.22 2/2 points Last...

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Section 5.7 (Homework) Description Additional Techniques of Integration 1. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.02.] Evaluate the integral. 0.533333333 0.533 2. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.06.] Evaluate the integral. 0.196349540 0.196 3. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.08.] Use the substitution u = tan x to evaluate the following. .53333333 0.533

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4. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.14.] Evaluate the integral. 13.33333333 13.3 5. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.16.] Write out the form of the partial fraction expansion of the function. Do not determine the numerical values of the coefficients. (a) (o) (o) (_) (_) (_) (_) (_) (_) (b)

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Unformatted text preview: (_) (_) (_) (_) (o) (o) (_) (_) 6. [SCalcCC2 5.7.22.] 2/2 points Last Response | Show Details All Responses Notes Evaluate the integral. (1)atan(x/1)+(1/2)atan(x/2) atan(x) + (1/2)*(atan(x/2)) + C 7. 2/2 points Last Response | Show Details All Responses Notes [SCalcCC2 5.7.26.] Use long division to evaluate the integral. y-2ln(y+2) y - 2*ln(abs(y+2)) + C 8. [SCalcCC2 5.7.30.] 0/2 points Last Response | Show Details All Responses Notes Make a substitution to express the integrand as a rational function and then evaluate the integral. .3333333333*ln(x+1.)+.6666666667*ln(x-2.)-.6666666667*ln(sqrt(x+2.)+2.)+.3333333333*ln(sqrt(x+2.)+1.)+.6666666667*ln(sqrt(x+2.)-2.)-.3333333333*ln(sqrt(x+2.)-1.) (2/3) * (2*ln(abs(sqrt(x+2)-2)) + ln(sqrt(x+2)+1)) + C...
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