Integral dari gambar dibawah
❐ Integral
_____________________________
[tex] \rm \displaystyle \int \dfrac {1}{(3x+5)²} ~dx [/tex]
—
[tex] \rm u \to 3x + 5 [/tex]
[tex] \rm du \to 3 [/tex]
[tex] \rm \displaystyle \int du = \int 3~dx [/tex]
[tex] \rm \displaystyle \dfrac {1}{3} \int du = \int dx [/tex]
—
[tex] \rm \displaystyle \int \dfrac {1}{(3x+5)²} ~dx [/tex]
[tex] \rm = \displaystyle \dfrac {1}{3} \int \dfrac {1}{u²}~du [/tex]
[tex] \rm = \dfrac {1}{3}~.(-1).~\dfrac {1}{u} + c [/tex]
[tex] \rm = -\dfrac {1}{3(3x+5)} + c [/tex]
[tex] \rm = -\dfrac {1}{9x + 15} + c [/tex]
[answer.2.content]