help me about maths

2009-11-19 11:55 pm
integration the question


S=symbol of integration


S ln(3+4x)dx

回答 (1)

2009-11-20 12:05 am
✔ 最佳答案
You gotta use integration by parts.

S ln(3 + 4x) dx

= xln(3 + 4x) - S x d[ln(3 + 4x)]

= xln(3 + 4x) - S 4x/(3 + 4x) dx

= xln(3 + 4x) - S [1 - 3/(3 + 4x)]dx

= xln(3 + 4x) - x + 3/4 ln(3 + 4x) + C

= (x + 3/4)ln(3 + 4x) - x + C
參考: Physics king


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