Question

e^x(x^2+x+1)dx =
could u please derive this​

Answer 1

Answer:

integration e^x*(x²) + e^x * (x) + e^x

= applied uv rule on first 2 term

=[ e^x(x²) - xe^x + e^x ] + [ xe^x - e^x] + e^x

=e^x (x²) + ( - xe^x + xe^x) + (e^x - e^x) + e^x

= x²e^x + e^x

= e^x(x²+1)