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Evaluate: (i) int(10\ x^9+10^x(log)e 10)...

Evaluate: (i) `int(10\ x^9+10^x(log)_e 10)/(10^x+x^(10))\ dx` (ii) `int(1-sin2x)/(x+cos^2x)\ dx\ `

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Verified by Experts

(i) `Let {I}=int frac{10 x^{9}+10^{x} log _{e} 10}{10^{x}+x^{10}} d x`
Putting `10^{x}+x^{10}=t`
`Rightarrow 10^{x} log _{e} 10+10 x^{9}=frac{d t}{d x} `
...
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