=( 1/ 15)x^ 15+ 14^x/ln 14= 1/ 15+ 13/ln 14

=∫2sec？ θ+5dθ=2tanθ+5θ=2+5π/4

=∫4/(t？ + 1)dt=4arctant=2π/3

y '(x)= ln(6+2 sinx)cosx-ln(6+2 cosx)sinx

f(6)-f(4)= 19，f(6)=32

y'=3(2-3x)^3/( 1+(2-3x)^2)

=(5/3)x^3+6x+5arctanx+C