14 of 15 (0 complete) Evaluate the definite integral J (1x² - 6x + 5) dx...
Evaluate the definite integral. 5 S (5x2 - 6x +6)dx 0
Evaluate the integral. 5 cost 3x dx 15 5 5 0 5x+7 sin 6x + 32 sin 12x + C 15 5 O Š x + 12 sin 6x + sin 12x + C 5. Tx+ 12 sin 3x + sin 12x + C 15 5 5 Tx+ 12 sin 3x + 56 sin 6x + C
evaluate the integral Evaluate the integral. [ 6x dy dx 0 - 1734 O 1020 0 - 204 O 102
Use a change of variables to evaluate the following definite integral. 0 Sxva-x? dx - 2 Determine a change of variables from x to u. Choose the correct answer below. O A. u = 2x O B. u= 14-x? O c. u=x? OD. u=4 - x? Write the integral in terms of u. 0 Sxda- ox= so du -2. Evaluate the integral. 0 Sxda-x? dx=0 -2
Evaluate the definite integral two ways: first by a V -substitution in the definite integral and then by a V -substitution in the corresponding indefinite integral. = Enter the exact answer. In2 Missing Plug-in J-In2 et + a dx =
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.)
Leta and b be constants. Evaluate the definite integral by using integration by substitution Sx².ex® dx You must show your substitution and your work, using the Fundamental Theorem of Calculus to receive credit. Simplify your answer,
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
3.) a.) Evaluate the following integral. (15 points) in(1 +5x?) dx b.) Evaluate the following integral. (10 points) tanº (6x) sec 10 (6x) dx