Observe the following statements: A : \int (\frac{x^2-1}{x^2}) e^{\frac{x^2+1}{x}} \dx=e^{\frac{x^2+1}{x}}+c. {\R}: \int f^{'}(x) e^{f(x)} \dx=f(x)+c Then which of the following is true?

Correct Answer is : A is true, R is false

Both {\A} and {\R} are true and {\R} is not the correct reason for {\A}

Both A and R are true and R is the correct reason for A

EAMCET Engineering 2006 Solved Paper

Section: Mathematics

Question : 154 of 160

Marks: +1, -0

Observe the following statements:
A : ∫(‌

x2−1

)e‌

x2+1

‌dx=e‌

x2+1

+c. R:∫f′(x)ef(x)‌dx=f(x)+c
Then which of the following is true?

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