1. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 6.3.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of the coefficients. (If the partial fraction decomposition does not exist, enter DNE.) (a) x2 + X - 12 + B - 3 (b) x2 + x + 5 Need Help? Read It Submit Answer 2. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 6.3.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. [ x3 - 3X - 1 dx x 2 - x - 6 1.3378 Enhanced Feedback Please try again. For integrating a quotient of polynomials of the form -where the degree of P(x) is greater than or equal Q ( x ) to the degree of Q(x), first divide P(x) by Q(x) using long division. The result will have the form S(x) +- R X), where the Q ( x ) ' degree of R(x) is less than the degree of Q(x). The next step is to factor Q(x) as far as possible. Then, rewrite ) as a Q (x) sum of partial fractions, where the denominator of each fraction is a factor of Q(x). The result will be an expression which may be integrated using substitution. Need Help? Read It Submit Answer 3. [-/1 Points] DETAILS SESSCALC2 6.3.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x2 + 1 ( x - 4) (x - 3) 2 - dx Need Help? Read It Submit Answer6. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 6.6.057. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine how large the number a has to be so that dx tan 0.0014. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 6.6.048.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the values of p for which the integral converges. (Enter your answer as an inequality.) 43 dx e x(In x)P 43 p-1 X Give your answer as an inequality. Evaluate the integral for those values of p. 43 p-1