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Calculus integral question... Help!?
Let f be an odd function and g be an even function, and suppose that integral from 0 to 2 of |f(x)|dx = integral from 0 to 2 of g(x)dx=2 use geometric reasoning to calculate each of the following:
a)integral from -2 to 2 x^2f(x)dx
b)integral from -2 to 2 3|f(x)|dx - integral from -2 to 2 g(x)dx
c)integral from -2 to 2 x^2 (f(x))^3g(x)dx
1 AnswerMathematics1 decade agoCalculus Integral Question?
Evaluate integral from zero to one of (x(1-x^4)^0.5)dx by making a substitution and interpreting the resulting integral in terms of an area.
3 AnswersMathematics1 decade agoCalculus Fixed Point Question involving Mean Value theorem and/or Rolle's theorem?
a number a is called a fixed point of a function f if f(a)=a. Prove that if f'(x) does not equal one for all real numbers x, then f has at most one fixed point.
2 AnswersMathematics1 decade agoLimit as x approaches 1 of ((2x^2-3)^(1/3) +1)/(X-1)?
Limit as x approaches 1 of ((2x^2-3)^(1/3) +1)/(X-1).
5 AnswersMathematics1 decade ago