By parts ≈ product rule in reverse!
Choose u = ln(x) (thanks, LIATE). Then dv = x^3 dx. Compute uv − ∫vdu to land 14x4lnx−116x4+C\tfrac14 x^4 \ln x - \tfrac{1}{16}x^4 + C41x4lnx−161x4+C. Wan...
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Choose u = ln(x) (thanks, LIATE). Then dv = x^3 dx. Compute uv − ∫vdu to land 14x4lnx−116x4+C\tfrac14 x^4 \ln x - \tfrac{1}{16}x^4 + C41x4lnx−161x4+C. Want a mixed drill next? Comment “NEXT”.
#Calculus #IntegrationByParts #APCalculus #ACTMath #LearnMath #MathShorts #LIATE
Save this, tag a classmate, and comment “NEXT” with the topic/integral you want tomorrow. Sub for daily ACT/Calc help. DM for 1:1 calculus tutoring.
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