Integral Calculus Question 309

Question: $ \int_{{}}^{{}}{(3,cose{c^{2}}x+2\sin 3x)\ dx=} $

[AI CBSE 1981]

Options:

A) $ 3\cot x+\frac{2}{3}\cos 3x+c $

B) $ -( 3\cot x+\frac{2}{3}\cos 3x )+c $

C) $ 3\cot x-\frac{2}{3}\cos 3x+c $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_{{}}^{{}}{(3cose{c^{2}}x+2\sin 3x),dx} $ $ =-3\cot x-\frac{2\cos 3x}{3}+c=-,[3\cot x+\frac{2}{3}\cos 3x]+c. $