Determine the following integral int(sin^2 (2x) + cos^2 (2x)) (x^2 - 2cos pi + 2/x^2 ))dx

foass77W

foass77W

Answered question

2021-02-13

Determine the following integral (sin2(2x)+cos2(2x))(x22cosπ+2x2)dx

Answer & Explanation

krolaniaN

krolaniaN

Skilled2021-02-14Added 86 answers

The integrand simplifies,
cos((π))=1 and the sum of the squares of the sine and cosine of any angle=1, so the integrand becomes x2+2+2x2.
The integral is x33+2x2x+c where c is constant of integration.

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