Question
Download Solution PDF is equal to
is equal to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculations:
∫1/x((x5)+3)dx
To solve this integral, we can use the substitution method. Let:
u = x5+3
du = 5x4dx
∫1/x((x5)+3)dx = ∫1/u((5x4))du = 1/5 [∫1/u((u-3))]du
By partial Fraction
1/5 ∫(A(u-3) + Bu)/u(u-3) du =1/5 ( -1/3 ∫1/u du + 1/3 ∫1/(u - 3))du
= 1/15 (Log u-3)/log u =
Last updated on Jul 21, 2025
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