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10 cards from this deck
∫y dx\int y \, dx∫ydx
Find dxdt\frac{dx}{dt}dtdx, then dx=dxdt dtdx = \frac{dx}{dt} \, dtdx=dtdxdt
Limits of integration
111
t=1t=1t=1
t=5t=5t=5
[t−ln∣t∣]15=4−ln5[t - \ln|t|]_{1}^{5} = 4 - \ln 5[t−ln∣t∣]15=4−ln5
333
t=0t=0t=0 and t=πt=\pit=π
[−3cos(t)]0π=6[-3\cos(t)]_{0}^{\pi} = 6[−3cos(t)]0π=6
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