MathAnalysisCalculusIntegrals

U-substitution

Theory

Solutions!

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Match each integral with its solution:

Match the items from left and right columns
∫4sin⁡(2x)dx \int 4 \sin(2x) dx
∫2sin⁡(ln⁡(x))xdx \int \frac{2\sin(\ln(x))}{x} dx
∫8sin⁡(2x)cos⁡(2x)dx \int 8 \sin(2x) \cos(2x) dx
−2cos⁡2(2x)+C -2 \cos^2(2x) + C
−2cos⁡(ln⁡(x))+C -2\cos(\ln(x)) + C
−2cos⁡(2x)+C -2 \cos(2x) + C

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