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`int(10x^(9)+10^(x)log_(e)10dx)/(x^(10)+10^(x))` बराबर है :A. `10^(x)-x^(10)+C`B. `10^(x)+x^(10)+C`C. `(10^(x)-x^(10))^(-1)+C`D. `log(10^(x)+x^(10))+C` |
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Answer» Correct Answer - D `int[(10x^(9)+10^(x)loge^(10))/(x^(10)+10^(x))]dx" "{:(" माना "x^(10)+10^(x)=t),(rArr(10x^(9)+10^(x)log_(e)10)),(" "dx=dt):}` `=int(1)/(t)dt=log|t|+c` `=log|x^(10)+10^()|+c` |
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