If f(x)=A (2^x) +B, where f^{'}(1)=2 and \int_{0}^{3} f(x) \dx=7, then which of the following statements are not correct? (i) A=\frac{1}{\log 2} (ii) B=\frac{7}{3(\log 2)^2} [(\log 2)^2-1] (iii) B=\frac{7}{\log 2} (iv) A=\frac{7}{3(\log 2)^2} [(\log 2)^2-1]

Correct Answer is : (i) and (ii)

CUSAT 2022 BTech Solved Paper Shift 3

Question : 169 of 200

Marks: +1, -0

If f(x)=A(2x)+B, where f′(1)=2 and

∫

f(x)‌dx=7, then which of the following statements are not correct?
(i) ‌‌A=‌

log‌2

(ii) ‌‌B=‌

3(log‌2)2

[(log‌2)2−1]
(iii) B=‌

log‌2

(iv) A=‌

3(log‌2)2

[(log‌2)2−1]

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