Answer to Question #223827 in Chemical Engineering for Lokika

Question #223827

∫0^{π}cos3t 𝛿(t-2π) dt


1
Expert's answer
2021-08-16T02:20:32-0400

"\\int _0^{\\pi }\\cos \\left(3t\\right)\\left(t-2\\pi \\right)dt\\\\\n=\\int _0^{\\pi }t\\cos \\left(3t\\right)-2\\pi \\cos \\left(3t\\right)dt\\\\\n=t\\cos \\left(3t\\right)-2\\pi \\cos \\left(3t\\right)\\\\\n\\mathrm{Apply\\:the\\:Sum\\:Rule}:\\quad \\int f\\left(x\\right)\\pm g\\left(x\\right)dx=\\int f\\left(x\\right)dx\\pm \\int g\\left(x\\right)dx\\\\\n=\\int _0^{\\pi }t\\cos \\left(3t\\right)dt-\\int _0^{\\pi }2\\pi \\cos \\left(3t\\right)dt\\\\\n=-\\frac{2}{9}-0\\\\\n=-\\frac{2}{9}"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS