y C e C 2 1 1 2 tan x y C e C 2 1 tan x y e C Combined constants of integration

Y c e c 2 1 1 2 tan x y c e c 2 1 tan x y e c

This preview shows page 14 - 16 out of 16 pages.

yCeC-+=+2112tanxyCeC-+=+21tanxyeC-=+Combined constants of integration
Example 9:(292221xdyxyedx=+21tanxyeC-=+We now have yas an implicit function of x.We can find yas an explicit function of x by taking the tangent of both sides.(29(2921tan tantanxyeC-=+(292tanxyeC=+Notice that we can not factor out the constant C, because the distributive property does not work with tangent.
Until then, remember that half the AP exam and half the nation’s college professors do not allow calculators.In another generation or so, we might be able to use the calculator to find all integrals.You must practice finding integrals by hand until you are good at it!π

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture