Duration: 7:33

1 views

0

Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT- 1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Let \( F(x) \) be an indefinite integral of
\[
\frac{\cos ^{3} x}{\sin ^{2} x+\sin x} \cdot x \neq n \pi \text {. }
\]
Statement 1: The function \( F(x) \) is \( 1-1 \) on \( (0, \pi / 2] \).
Statement 2: \( \log x \) increases from \( -\infty \) to 0 on \( (0,1] \) and \( \sin x \) increases from 0 to 1 on \( (0, \pi / 2] \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live