Question

Assertion :$\int e^{x^2}dx=e^{x^2}+C$ Reason: $\int e^{x}dx=e^x+C$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is incorrect but Reason is correct
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is incorrect but Reason is correct

The assertion $\int e^{x^2}=e^{x^2}+C$ is wrong as it is $e$ raised to some function of function,

Whereas, in $\int e^x=e^x+C$ we have just one function i.e., $x$, so the assertion is wrong and the reason given for that is not correct