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To determine which function is your u value in the by parts equation, you can use the acronym LATE to find the order of precedence for this value. LATE stands for: Logarithmic functions Arithmetric functi...

Incline is at θ where sin θ = 1/20 and mass of the car is 800kg and v is 12.5 m/s

Up the road: Power = Fv                              F = R + (800g)/20

                            ...

Let u = ln(x) and dv/dx = x

Thus du/dx = 1/x and v = x²/2

Using the formula:

Integral of udv/dx = uv - Integral of v*du/dx<...