A thin wire forms a quarter-circle of radius cm in the first quadrant
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
A thin wire forms a quarter-circle of radius 4 cm in the first quadrant, centered at the origin. At an angle θ (in radians) from the positive x-axis, its linear mass density is λ(θ)=3+2θ grams per centimeter along the wire. Determine the mass of the wire, expressed in grams.