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m_goldberg
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Calculate an integration borderlimit to obtain a certain area under a curve

I have a function that looks like a sigmoid curve. I I would like to calculate the right integration border with whichlimit so that the area under the sigmoid curve amounts tohas a certaingiven value.

my curve:

model=model = (3.70288 E^(-((0.134844 (30.8 - 17.8731 t)^2)/t)))/Sqrt[t]

I tried:

Solve[Integrate[model == 10^-2, {t, 0, x}], x]

But that didn't work. Thanks in advance.

Calculate an integration border to obtain a certain area under a curve

I have a function that looks like a sigmoid curve. I would like to calculate the right integration border with which the area under the sigmoid curve amounts to a certain value.

my curve:

model=(3.70288 E^(-((0.134844 (30.8 - 17.8731 t)^2)/t)))/Sqrt[t]

I tried:

Solve[Integrate[model == 10^-2, {t, 0, x}], x]

But that didn't work. Thanks in advance.

Calculate an integration limit to obtain a certain area under a curve

I have a function that looks like a sigmoid curve. I would like to calculate the right integration limit so that the area under the sigmoid curve has a given value.

my curve:

model = (3.70288 E^(-((0.134844 (30.8 - 17.8731 t)^2)/t)))/Sqrt[t]

I tried:

Solve[Integrate[model == 10^-2, {t, 0, x}], x]

But that didn't work.

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Niki
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Calculate an integration border to obtain a certain area under a curve

I have a function that looks like a sigmoid curve. I would like to calculate the right integration border with which the area under the sigmoid curve amounts to a certain value.

my curve:

model=(3.70288 E^(-((0.134844 (30.8 - 17.8731 t)^2)/t)))/Sqrt[t]

I tried:

Solve[Integrate[model == 10^-2, {t, 0, x}], x]

But that didn't work. Thanks in advance.