(CBSE) Ch-6 Integrals(DoUBT question)

Question

 Evaluate \(\int xe^{(1+x^2)} dx\)

Answer 1

Putting value of t and dt in equation

\(=\frac{1}{2}\int\,e^ tdt\)

\(=\frac{1}{2}e^t+C\)

Putting back t = (1 + x²)

\(=\frac{1}{2}e^{1+x^ 2}+C\)