Evaluate the definite integral _ 0 ^ 1 4x(1+x^ 2 )^ 5 e^ (1+x^ 2 )^ 6 ,dx

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the definite integral

\int_{0}^{1}4x(1+x^{2})^{5}e^{(1+x^{2})^{6}}\,dx.

Give your answer in exact form.