Calculate the definite integrals below. + arctan) (u) . ܫܐ). (o) V1 + cos 4.cda -
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: 9+x2 dx b. J v1+ cosx + sinxdx
4. Evaluate the definite integrals: A) |_ In xdx 1 xV1+ ln² x I dx cos x sin x a f / Inx di -d
2. Evaluate the definite integrals below. Use u-substitution when appropr a. C. xe-xºdx
Find the following integrals: SPENT Ox (26 - secx tanx) dx 4 evaluate the following definite integrals: b) 3 sinx Cos x V 1 + 3 sinx dx let u = 1 + 3 si nax
Calculate the derivation of uniform distribution. COS d) y = arctan X, X-U[0, 1 ]
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (5x2 + 7x4 + 50) dx b. f (6e* - 7cos x + 14)dx c. Si (-5sinx + 3) dx
Evaluate the definite integral. Enter exact values. 2 cos (2) dc V1 - 22 - =
2. Determine the following integrals, giving exact values for the definite integrals (and simplify as much as possible!). (4 points each) x-&x a) x se -cos(x) + 2" Jdus b) ſxvx-1dx The Adventure Continues e) [r? n(x) dx
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a. S(-11(5x + 7)5)dx b. S(4V7x - 1)dx C. J-8 siz3x cosx) dx d. S -6 dx 2x+3 e. S(-5sin(9x - 4))dx
Write the expression as an algebraic (nontrigonometric) expression in u, u> 0. cos (arctanu) cos (arctan u) = 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) The following function approximates the average monthly temperature y (in °F) in a city. Here x represents the month, where x= 1 corresponds to January, x=2 corresponds to February, and so on. Complete parts (a) (b). flx) = 11 sin [«- 49]+50...