Saturday

March 28, 2015

March 28, 2015

Posted by **COFFEE** on Saturday, June 30, 2007 at 2:56am.

and this is what i did.. please check for mistakes. thanks :D

f(x) = x^2 sqrt(1+x^3), [0,2]

f ave = (1/(b-a))*inegral of a to b for: f(x) dx

f ave = (1/(2-0))*integral of 0 to 2 for: x^2 sqrt(1+x^3) dx

..let u = x^3 & du = 3x^2 dx

f ave = (1/2)*integral of 0 to 2 for: sqrt(1+u)*3 du

f ave = (3/2)*integral of 0 to 2 for: sqrt(1+u) du

= (3/2)[(2/3)(x+1)^(3/2)] from 0 to 2

= (3/2)[(2/3)((2)+1)^(3/2)] - (3/2)[(2/3)((0)+1)^(3/2)]

= (5.1962 - 1)

= 4.1962

When you change variables, you have to change limits of integration. When

x=0, u=0; when x=2, u=8

That will change the answer.

**Answer this Question**

**Related Questions**

calc: avg value - Find the average value of the function "f(x) = x^2 sqrt(1+x^3...

Calculus (Please Check my answers) - Find the average value of the function i=...

Calculus (please check my answer) - Find the Avrage value of the function i=15(1...

Calc, Mean Value Theorem - Consider the function : 3x^3 - 2x^2 - 4x + 1 Find the...

Calculus check - Given f(x)=4+3/x find all values of c in the interval (1,3) ...

Advanced Math - Can someone check these for me? Please? Use half-angle identity ...

Calculus check - Given f(x)=x^4(2x^2-15). On what interval(s) is the graph of f ...

Math/Calculus - Solve the initial-value problem. Am I using the wrong value for ...

Calculus - Find the average value of the function f(x) 8x^2-9x+8 on the interval...

calc - Verify that the function satisfies the three hypotheses of Rolle's ...