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Differentiate w.r.t. t
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\int {0.9999904807207345 \cdot 229.1816636094399} dt
Evaluate trigonometric functions in the problem
\frac{229.1816636094399\times 1999980961441469}{2000000000000000}t
Find the integral of \frac{229.1816636094399\times 1999980961441469}{2000000000000000} using the table of common integrals rule \int a\mathrm{d}t=at.
\frac{4583589639303629397257397232131t}{20000000000000000000000000000}
Simplify.
\frac{4583589639303629397257397232131t}{20000000000000000000000000000}+С
If F\left(t\right) is an antiderivative of f\left(t\right), then the set of all antiderivatives of f\left(t\right) is given by F\left(t\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.