4. Show that the value of | cos(x)dx cannot be 2. 0 sin(x))
Evaluate the integral. (Use C for the constant of integration.) (4² + 5x) cos(x) dx Show My Work (Required)
Show detailed work 4. (9 points each) Integration: 77 1 Vx(1+x)2 sinx (b) S3 -dx (6-cos x) 3 (© 1.6.-2) )dx (d) St(t – 5)ºdt (e) 56x?=+*+VX-4 dx
Evaluate V1 + x² -dx х II if x = 1 and c = 0. (Keep three decimal places.)
4. Use an appropriate substitution to evaluate the following integral: 3/4 cos(V1 – x (1 – x dx 0
Please show all the steps of these questions. Solve the differential equation y' + y cos x = { sin 2x dy V1 - y2 Solve the initial value problem y(e) = dx x In (x) 1 = V2
Find an explicit solution of the given initial-value problem. V1 - y2 dx - V1 – x2 dy = 0, 7(0) = 1) =
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
4. Integration: TT (a) Si Jachtvoz dx (b) sin x dx (6-cos x)3 (c) , (2-2)' (3) dx (d) St(t - 5)8dt 6x7-x*+VX-4 dx x2
4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Find the approximate values of 1 when the step size h-: 2 and h 1 , respectively. (b) Find an upper bound of the step size h in order to guarantee that the absolute error (in absolute value) of the estimate is less than 0.001. Hint: 2 sin x cos x = sin (2x). I cos x I " The arguments of all trigonometric...