jee-main 2020 Q67

jee-main · India · session2_05sep_shift2 Standard Integrals and Reverse Chain Rule Reverse Chain Rule Antiderivative (MCQ)

If $\int \frac{\cos\theta}{5 + 7\sin\theta - 2\cos^2\theta}\,d\theta = A\log_e|B(\theta)| + C$, where $C$ is a constant of integration, then $\frac{B(\theta)}{A}$ can be:
(1) $\frac{2\sin\theta+1}{\sin\theta+3}$
(2) $\frac{2\sin\theta+1}{5(\sin\theta+3)}$
(3) $\frac{5(\sin\theta+3)}{2\sin\theta+1}$
(4) $\frac{5(2\sin\theta+1)}{\sin\theta+3}$

If $\int \frac{\cos\theta}{5 + 7\sin\theta - 2\cos^2\theta}\,d\theta = A\log_e|B(\theta)| + C$, where $C$ is a constant of integration, then $\frac{B(\theta)}{A}$ can be:\\
(1) $\frac{2\sin\theta+1}{\sin\theta+3}$\\
(2) $\frac{2\sin\theta+1}{5(\sin\theta+3)}$\\
(3) $\frac{5(\sin\theta+3)}{2\sin\theta+1}$\\
(4) $\frac{5(2\sin\theta+1)}{\sin\theta+3}$

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