Please give me the complete solution of 

Asked by Balbir | 23rd Oct, 2017, 08:54: PM

Expert Answer:

begin mathsize 16px style integral fraction numerator 2 to the power of straight x plus 1 end exponent minus 5 to the power of straight x minus 1 end exponent over denominator 10 to the power of straight x end fraction dx
integral open parentheses fraction numerator begin display style 2 to the power of straight x plus 1 end exponent end style over denominator begin display style 10 to the power of straight x end style end fraction minus fraction numerator begin display style 5 to the power of straight x minus 1 end exponent end style over denominator begin display style 10 to the power of straight x end style end fraction close parentheses dx
integral open parentheses fraction numerator begin display style 2 to the power of straight x plus 1 end exponent end style over denominator begin display style 2 to the power of straight x cross times 5 to the power of straight x end style end fraction minus fraction numerator begin display style 5 to the power of straight x minus 1 end exponent end style over denominator begin display style 2 to the power of straight x cross times 5 to the power of straight x end style end fraction close parentheses dx
integral open parentheses 2 over 5 to the power of straight x minus fraction numerator 1 over denominator 5 cross times 2 to the power of straight x end fraction close parentheses dx
integral open parentheses 2 cross times 5 to the power of negative straight x end exponent minus 1 fifth cross times 2 to the power of negative straight x end exponent close parentheses dx
Now space you space can space integrate space it space further. end style

Answered by Sneha shidid | 14th Dec, 2017, 04:54: PM