Find the integrate, where f if a continuous function

If x sin pi x = int_{0}^{2}f(t)dt, where f if a continuous function, find f(4)?

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1 Answer

Assume x should be t: tsinπt=∫[0,2]f(t)dt.

Differentiate both sides: πtcosπt+sinπt=f(t), so f(4)=4π.

by Top Rated User (1.1m points)

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