Processing Math: Done

Aus Online Mathematik Brückenkurs 2

If we rewrite x  as x12 , the integrand can then be simplified using the power laws,

41x2xdx=41x2x12dx=41x12−2dx=41x−32dx.

We can now use the fact that a primitive function for xn is xn+1(n+1) and calculate the integral's value,

41x−32dx= x−32+1−32+1 41= −12x−12 41= −21x12 41= −2x 41=−24−−21=−22+2=1.