ise trapeczoidal rale to mumericlly evaluane ths inegra I(sin x +cos 2x) dx Divide the integral...
find the indefinite integral and check the result by differentiation Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx
(1 point) Find the general indefinite integral S sin 2x dx. cOS X Answer.
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
Evaluate the integral | -9 sin?(x) cos”(x) dx Note: Use an upper-case "C" for the constant of integration.
Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Find the exact value by integration. 1 - x 3x e dx 0 (a) Use the trapezoidal rule to approximate the integral. 1 Joxe -x² dx~ 0 (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
Use symmetry to evaluate the following integral. /2 (cos 2x + cosxsin x - 2 sinxº) dx -1/2 1/2 (cos 2x + cos x sinx-2 sin x) dx = (Simplify your answer.) -1/2
Use the Midpoint Rule with n=4 to approximate the following integral, where x is measured in radians. So sin(x) dx You must show all steps of your work. Please express all intermediate steps to six decimal places or more, and then round your final answer to 4 decimal places. (Do not round off to four decimal places until you get to your final answer.) CAUTION: Make sure that your calculator is in RADIANS mode! 17.4286 17.2183 16.7873 16.7629 15.9287
Please show all your steps and calculations. 1-1 Consider the integral: 8 I = | (-0.055x4 + 0.86x3-4.2x2 + 6.3x + 2)dx 08 b) Use Romberg integration to evaluate the integral to an accuracy of Es = 0.5%, rounding the answer to three decimal places. (Analytical value of I-20.9920) 1-1 Consider the integral: 8 I = | (-0.055x4 + 0.86x3-4.2x2 + 6.3x + 2)dx 08 b) Use Romberg integration to evaluate the integral to an accuracy of Es = 0.5%,...
1P Question 3 1 Evaluate the double integral: SS sin?(x) dx2 7 o (+ cos(2x)) 0} (x2 + cosº (x)) No answer text provided. 0}(– cos(2x)) 0} (x + 2 cos(2x)) NE Previous
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.