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QUESTION

find the average value of the function f(x) = x 2 over the interval [1,4]. find the area under the curve y= 4 - x 2 over the interval [0,2]. evaluate...

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