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De 4 første ledd i rekkeutviklingen er

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$\\displaystyle{t - \\frac 1 4 t^2 + \\frac 1 {18}t^3 - \\frac 1 {96}t^4}$

", "

$\\displaystyle{1 - \\frac 1 4 t + \\frac 1 {18}t^2 - \\frac 1 {96}t^3}$

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$\\displaystyle{t + \\frac 1 4 t^2 + \\frac 1 {18}t^3 + \\frac 1 {96}t^4}$

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$\\displaystyle{t^2 + \\frac 1 4 t^3 + \\frac 1 {18}t^4 - \\frac 1 {96}t^5}$

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Ut fra de 4 første ledd i rekkeutviklingen beregnes verdien av integralet til

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$\\frac{379}{282}$

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$\\frac{379}{288}$

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$\\frac{793}{288}$

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$\\frac{937}{282}$

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Bestem rekkeutviklingen av integralet $\\displaystyle{\\int\\frac{e^t -1}{t}\\text{d}t}$ .

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