Solve d / wrt x ∫ (from x to 1) of t e ^ { -t}dtquadtext{(2)}*d/dxint_{x^2}^x^3te^tdt

$$\frac { d } { d x } \int _ { x } ^ { 1 } t e ^ { - t } d t \quad \text { (2) } \cdot \frac { d } { d x } \int _ { x ^ { 2 } } ^ { x ^ { 3 } } t e ^ { t } d t$$

Evaluate

$$d^{3}t^{4}x^{5}\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)\left(x^{2}\left(1-x^{4}\right)\left(9x^{3}e^{x^{3}}+6e^{x^{3}}-4e^{x^{2}}\right)+3\left(1-x^{4}\right)\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)-4x^{4}\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)\right)$$

Differentiate w.r.t. x

$$d^{3}\left(tx\right)^{4}\left(\left(9x^{5}e^{x^{3}}+15x^{2}e^{x^{3}}-4x^{2}e^{x^{2}}-6e^{x^{2}}\right)\left(x^{2}\left(1-x^{4}\right)\left(9x^{3}e^{x^{3}}+6e^{x^{3}}-4e^{x^{2}}\right)+3\left(1-x^{4}\right)\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)-4x^{4}\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)\right)+\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)\left(-27x^{12}e^{x^{3}}+3x^{2}\left(1-x^{4}\right)\left(9x^{3}e^{x^{3}}+6e^{x^{3}}-4e^{x^{2}}\right)-153x^{9}e^{x^{3}}+27x^{8}e^{x^{3}}+8x^{8}e^{x^{2}}+6\left(1-x^{4}\right)\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)-12x^{4}\left(3x^{2}e^{x^{3}}-2e^{x^{2}}\right)-144x^{6}e^{x^{3}}+48x^{6}e^{x^{2}}+81x^{5}e^{x^{3}}+40x^{4}e^{x^{2}}+24x^{2}e^{x^{3}}-16x^{2}e^{x^{2}}\right)\right)$$