Question

Consider the following :
1. $\int \ln 10dx=x+c$
2. $\int {10}^{x}dx={10}^x+c$
Where c is the constant of integration.
Which of the above is/are correct ?

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2

Answer 1

The correct option is D Neither 1 nor 2

$\int \ln 10.dx$

$=\ln 10\int dx$

$=x\ln 10+c$

And,

$\int {10}^x.dx$

$=\frac{{10}^x}{\ln 10}+c$

Thus, both the statements are wrong.