Given below are two statements. Statement - 1: 10 x^ 9 +10^ x _ r 10 10^ x + x ^ 1 l dx =…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
Statement - 1: \(\int \frac{10 x^{9}+10^{x} \log _{\mathrm{r}} 10}{10^{\mathrm{x}}+\mathrm{x}^{1 \mathrm{l}}} \mathrm{dx}=\log \left|10^{\mathrm{x}}+\mathrm{x}^{1 \mathrm{l}}\right|+\mathrm{c}\)
Statement - 2: \(\int \frac{f^{\prime}(x)}{f(x)} d x=\log |f(x)|+C\)
In the light of the above statements, choose the correct answer from the options given below:
- Both Statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both Statements are true but Statement - 2 is not correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(A) Both Statements are true and Statement - 2 is the correct explanation for Statement - 1
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