`I=int_0^alpha t e^(-at)\ dt` using ILATE.

int e^t sint dt

int e^(t)(cost-sin t)dt

int_e^(e(-1)) 1/(t(t+1)) dt

Let A = int_0^(1) e^(t)/(t+1) dt , then int_0^(1) (t.e^(t^(2)))/(t^(2)+1) dt =

If int_0^1 (e^t)/(1 + t) dt = a, then int_0^1 (e^t)/((1 + t)^(2))dt is equal to:

If A = int_(0)^(1) (e^(t))/(1+ t)dt then int_(0)^(1) e^(t) ln (1 + t) dt=

If int _(0) ^(pi) ( sin ^(3) x) e^(- sin^(2)x)dx = alpha - (beta)/( e) int _(0)^(1) sqrt(t) e^(t) " dt , then " alpha + beta is equal to _____