Practice problem
Find the derivative of the function given that, g(x)=∫0xt2+t−13tdtg(x)=\int_0^x \frac{t^2+t-1}{3^t}dtg(x)=∫0x3tt2+t−1dt
x2+x−1x^2+x-1x2+x−1
−ln3(x2+x−1)+2x+13x\dfrac{-\ln3(x^2+x-1)+2x+1}{3^x}3x−ln3(x2+x−1)+2x+1
x2+x−13x\dfrac{x^2+x-1}{3^x}3xx2+x−1
x2+x−13xdx\dfrac{x^2+x-1}{3^x}dx3xx2+x−1dx
Type a concept, like “slope” or “photosynthesis”.