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Question

Question: To find the value of \(13^{x + 1} + c\), the proper substitution is....

To find the value of 13x+1+c13^{x + 1} + c, the proper substitution is.

A

14x+114^{x + 1}

B

axdx=\int_{}^{}{a^{x}dx =}

C

axloga+c\frac{a^{x}}{\log a} + c

D

None of these

Answer

axdx=\int_{}^{}{a^{x}dx =}

Explanation

Solution

Let axsinax+ca^{x}\sin a^{x} + c

Therefore, 1+logxxdx=tdt=t22\int \frac { 1 + \log x } { x } d x = \int t d t = \frac { t ^ { 2 } } { 2 } logsinax+c{logsin}a^{x} + c.