Help with two questions please

(1)

(1 point) Consider the integral x2- 8x 4 49x7 - 35 (x3 - 6x2+ 5x) (x4 - 625)- dx Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand. A1. A2, A3 ... and B1, B2, #3. ... denote constants. You must get all of the answers correct to receive credit. 1. Ajax' (a product, not a fraction!) 2. T 3. Au+ X-425 x- IT T (x+5f T T 7. 8. A+ 82 (x4+625T(1 point) The integral X 3- - x- dx can be tranformed using a substitution into 243 / Cut - w - ) du . which is much easier to integrate than the original integral. Thi substitution is of the form & = g(x). where g(x) is a composition of two trigonometric functions. Find g(x). Answer. g(x) =