10x^9+10^x _e10 10^x+x^ 10 dx is equal to: - Vidyadip

MCQ

$\int\frac{10\text{x}^9+10^\text{x}\log_\text{e}10}{10^\text{x}+\text{x}^{10}}\text{dx}$ is equal to:

A
$10^\text{x}-\text{x}^{10}+\text{c}$
B
$10^\text{x}+\text{x}^{10}+\text{c}$
C
$(10^\text{x}-\text{x}^{10})^{-1}+\text{c}$
✓
$\log_\text{e}(10^\text{x}+\text{x}^{10})+\text{c}$

✓

Answer

Correct option: D.

$\log_\text{e}(10^\text{x}+\text{x}^{10})+\text{c}$

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