Hello I need help with the following 5 Problems. Please and thank you.

The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate the following integral. y = f() C 15 [ f(x )dx 15 O 8 X a C f(x)dx = (Type an integer or a simplified fraction.) aUse the gures to calculate the left and right Riemann sums for f on the given interval and the given value of n. 2 f(x)= ; on [1,5]: n=4 The left Riemann sum for f is D. (Round to two decimal places as needed.) The right Riemann sum for f is D (Round to two decimal places as needed.) Approximate the area of the region bounded by the graph of f(t) = cos (t I 2 - at! 8) and the t-axis on [0,1r] with n = 4 subintervals. Use the mid point of each subinterval to determine the height of each rectangle (see gure). The approximate area of the region is El (Round to two decimal places as needed.) f{t)=cos{t12 m'8) .V n n Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the y-axis. y= 196 - 14x", y = 0, and x = 0, in the first quadrant Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OA. [ ( ) dx OB. J ( )dy The volume is . (Type an exact answer.)Find the volume of the solid generated by revolving the region bounded by the given line and curve about the x-axis. y=425x2,y=o Set up the integral that gives the volume of the solid. D I (D) dx - 5 (Type exact answers.) The volume of the solid is D cubic units. (Type an exact answer.)