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Social ScienceEvaluate the integralx cos(3x) dxNote: Use an upper-case "C" for the constant of integration
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Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration
Expert Answer
Given:
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Sxcos (3x)dx
Integration by parts:
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(x) d | dx dx
Taking x as first function and cos(3x) as second function and I...
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d Jxcos (3x) dr= xfcos(3x) d cos(3x) d dx+C x sin (3x xcos (3x) dr= x sin (3x dx C xsin (3x) Jxcos (3x) dx= sin(3x) dx+ C x sin (3x) (-cos 3x) +C 1 Jxcos (3x) dr= 3 x sin (3x) cos ( 3.x) +C 9 Jxcos (3x) dr= 3 Jxcos (3x) dt 3x sin(3x)+cos (3x)+C
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Calculus
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