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Compare modulus integrals using algebra and geometry

Find kk such that ∫−c0∣x−c∣ dx=k∫02c∣x−c∣ dx\int_{-c}^0|x-c|\,dx=k\int_0^{2c}|x-c|\,dx, where cc is a positive constant.

[2013/CJC/Prelim/I/2]

CJC · Lecture · Example 21

Both copies print the complete piecewise expression, algebraic solution and alternative trapezium/two-triangle method. Teacher 27 adds Strategy: Draw a diagram; that advice is integrated into the opening step.

The denominator integral is c² and is nonzero because c is positive.

Read the worked solution