A AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA11. Let f be the function defined by f(x)=∫0x(2t3−15t2+36t)dt. On which of the following intervals is the graph of y=f(x) concave down?(A) (−∞,0) only(B) (−∞,2)(C) (0,∞)(D) (2,3) only(E) (3,∞) only Get tutor helpEvaluate the line integral, where C is the given curve.∫Cxsin(y)ds,C is the line segment from (0,1) to (4,4) Get tutor helpFind the 8th term in the sequence−21,−1,−2,−4,…Hint: Write a formula to help you. Get tutor help