I am trying to plot the following integral:
Integrate[1/2*(4*((1-v)*Exp[-2/5*t]-1)/((1-v)*Exp[-2/5*t]+1)^5-1)^2, {t, 0, 2/5*Log[99*(1-v)]}]
Against a range of v variables, {0.01,0.99,0.0098} but I keep getting the same error saying my limit of integration is not valid, is there another function I can use?
$Version
(12.2.0 for Microsoft Windows (64-bit) (December 12, 2020))
f[v_] := NIntegrate[
1/2 (4 ((1 - v) Exp[-2/5 t] - 1)/((1 - v) Exp[-2/5 t] + 1)^5 -
1)^2, {t, 0, 2/5 Log[99 (1 - v)]}];(*With mumerics*)
Plot[f[v], {v, 0.0098, 0.99}]
g = Integrate[
1/2 (4 ((1 - v) Exp[-2/5 t] - 1)/((1 - v) Exp[-2/5 t] + 1)^5 -
1)^2, {t, 0, 2/5 Log[99 (1 - v)]}, Assumptions -> v > 0](*Symbolic solution*)
Plot[Evaluate[g[[1]]], {v, 0.0098, 0.99}]
This has sorted it, thank you very much.