Answer to Question #178354 in Calculus for Phyroe

Question #178354

Integration Procedures (Integration by Parts)


∫ θ cosθ dθ


1
Expert's answer
2021-04-29T16:58:39-0400
"\\int\\theta\\cos \\theta d\\theta"

Integration by Parts


"\\int u dv=uv-\\int v du"

"u=\\theta , du=d\\theta"


"dv=\\cos \\theta d\\theta, v=\\int \\cos \\theta d\\theta=\\sin \\theta"

"\\int\\theta\\cos \\theta d\\theta=\\theta\\sin \\theta-\\int\\sin \\theta d\\theta"

"=\\theta\\sin \\theta+\\cos \\theta +C"


"\\int\\theta\\cos \\theta d\\theta=\\theta\\sin \\theta+\\cos \\theta +C"


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