(5) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: lo x? x4 + 16 dx .
(2) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: 27 1 dt. 0 3 – sin(t)
Apply integration by parts twice to evaluate the integral. ſ in?(x15) dx correct value of ſin?(x+5) Choose the dx below. O A. x In? (x45) - 30x In (x15) + 15x + C O B. xIn? (x15) - 30x In (x15) + 450x+C O c. xIn(x15) + 450x In (x15) - 30x+C OD. xIn? (x+5) - 450x In (x15) + 450x + c
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x3 dx, u = x4 – 5 5 Evaluate the indefinite integral. (Use C for the constant of integration.) X dx 1 + x20
please help with number 15 15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...
Use a change of variables to evaluate the following definite integral. 0 S xV81-x* dx -3 Determine a change of variables from x to u. Choose the correct answer below. O A. u=x4 O B. u = 81- x4 O C. u = 4x3 OD. u= 181 - x4 Write the integral in terms of u. S xV81-x* dx= du -3 Evaluate the integral. 0 5 x 181-x* dx= { -3 (Type an exact answer.)
Evaluate the indefinite integral. (Use C for the constant of integration.) (In(x)) dx Icon х
Evaluate the integral using integration by parts. e4 Sx x? In (x)dx 1 e 4 S x In (x)dx=0 (Type an exact answer.)
Evaluate the following integral. This involves substitution and integration of ln. \int 3 2 (x ^4 + 1 )/(x ^5 + 5x )dx
Evaluate the integral. (Use C for the constant of integration.) (4² + 5x) cos(x) dx Show My Work (Required)
the Evaluate the integral by revising order of integration. aresinly) VIH (05 (x) •Cos ex) dx dy Scanned with CamScanner