Find the derivative of the function f(x)=∫x2exln(t2+1) dtf(x) = \int_{x^2}^{e^x} \ln(t^2 + 1) \, dtf(x)=∫x2exln(t2+1)dt.
exln(e2x+1)−2xln(x4+1)e^x \ln(e^{2x} + 1) - 2x \ln(x^4 + 1)exln(e2x+1)−2xln(x4+1)
exln(e2x+1)+2xln(x4+1)e^x \ln(e^{2x} + 1) + 2x \ln(x^4 + 1)exln(e2x+1)+2xln(x4+1)
2e2xe2x+1−4x3x4+1\frac{2e^{2x}}{e^{2x}+1} - \frac{4x^3}{x^4+1}e2x+12e2x−x4+14x3
exln(e2x+1)−x2ln(x4+1)e^x \ln(e^{2x} + 1) - x^2 \ln(x^4 + 1)exln(e2x+1)−x2ln(x4+1)