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Differentiate w.r.t. k_1
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\int k_{1}\mathrm{d}x
Evaluate the indefinite integral first.
k_{1}x
Find the integral of k_{1} using the table of common integrals rule \int a\mathrm{d}x=ax.
k_{1}\times 2-k_{1}a
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
k_{1}\left(2-a\right)
Simplify.