Integration 2 x3 ex square dx explain in great detail and give full solution 

Asked by haroonrashidgkp | 18th Oct, 2018, 04:31: PM

Expert Answer:

integral 2 x cubed e to the power of x squared end exponent d x
integral x squared e to the power of x squared end exponent.2 x space d x
l e t space x squared equals t
d i f f e r e n t i a t e space w. r. t space x
2 x d x equals d t

integral x squared e to the power of x squared end exponent.2 x space d x equals integral t e to the power of t d t
integral u. v space d x equals space u integral v d x minus integral left square bracket fraction numerator d u over denominator d x end fraction integral v d x right square bracket d x

integral t e to the power of t d t equals t integral e to the power of t d x minus integral left square bracket fraction numerator d space t over denominator d t end fraction integral e to the power of t d t right square bracket d t

equals t e to the power of t minus e to the power of t plus c
equals x squared e to the power of x squared end exponent minus e to the power of x squared end exponent plus c

Answered by Ram Singh | 18th Oct, 2018, 07:21: PM