# Find The Average Value Of The Function F X X 2 Over The Interval 1 4 Find The Ar

- find the average value of the function f(x) = x2 over the interval [1,4].
- find the area under the curve y= 4 – x2 over the interval [0,2].
- evaluate the indefinite integral: 2x cube root (x2 + 1) dx.
- evaluate the indefinite integral: (lnx)3/ x dx.
- Evaluate the definite integral: x(x2 + 1)3 dx with lower bound 0 and upper bound 2.
- Evaluate the definite integral: sin5(2x) cos(2x) dx with lower bound 0 and upper bound pi/8
- evaluate the definite integral: x square root (x2 + 1) dx with lower bound 0 and upper bound 1.
- Evaluate the definite integral: xe (-xsquared/2) dx with lower bound 0 and upper bound square root 2.
- Find the area of the region under the graph of y= 1/ (1+ x2) over the interval [0,1]