Learn To Be brings free online tutoring students around the United States. Volunteer and gain community service hours while helping students who need it./p>

Definite integral properties (algebraic)

Given:  46f(x)dx=7   ~\displaystyle \int_{4}^6f(x)\,dx=7~~~ and    04f(x)dx=9~~~\displaystyle \int_{0}^4f(x)\,dx=-9\,.
06f(x)dx=\displaystyle \int_{0}^6f(x)\,dx\, =
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}