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Question
Integrate the following functions w.r.t. x:
`(10x^9 10^x.log10)/(10^x + x^10)`
Solution
Let I = `int (10x^9 10^x.log10)/(10^x + x^10).dx`
Put 10x + x10 = t
∴ (10x. log 10 + 10x9).dx = dt
∴ I = `int(1)/t dt` = log | t | + c
= log | 10x + x10 | + c.
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