( 2^ x -5^ x 10^ x ) d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int\left(\frac{2^{x}-5^{x}}{10^{x}}\right) d x\)is equal to
- \(\frac{2^{-x}}{\log _{e} 2}-\frac{5^{-x}}{\log _{e} 5}+c\)
- \(\frac{2^{x}}{\log _{e} 2}-\frac{5^{x}}{\log _{e} 5}+c\)
- \(\frac{2^{x}}{\log _{e} 2}+\frac{5^{x}}{\log _{e} 5}+c\)
- \(\frac{5^{-x}}{\log _{e} 5}-\frac{2^{-x}}{\log _{e} 2}+c\)
Answer
(A) 2^ -x _ e 2 - 5^ -x _ e 5 +c
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