Evaluate
LN_{1}v_{1}
Differentiate w.r.t. N_1
Lv_{1}
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\int N_{1}v_{1}\mathrm{d}x
Evaluate the indefinite integral first.
N_{1}v_{1}x
Find the integral of N_{1}v_{1} using the table of common integrals rule \int a\mathrm{d}x=ax.
N_{1}v_{1}L-N_{1}v_{1}\times 0
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.
N_{1}v_{1}L
Simplify.
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