Question

Integral por partes de x^3(4-5x^3)^2dx

Answer 1

respuesta:

16x^3dx-40x^6dx+25x^9dx

paso a paso

(4-5x^3)^2=16-40x^3+25x^6

=x^3(25x^6-40x^3+16)dx

=x^3dx*16+x^3dx(-40x^3)+x^3dx*25x^6

=16x^3dx-40x^3x^3dx+25x^6x^3dx

Simplificar:

16x^3dx-40x^3x^3dx+25x^6x^3dx:   16x^3dx-40x^6dx+25x^9dx

=16x^3dx-40x^6dx+25x^9dx