CBSE Class 12 Maths Integrals Quiz 6

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CBSE › Class 12 › Maths › Integrals

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1. If ∫ \(\frac{3x+4}{x^3-2x-4}\) dx = log |x – 2| + k log f(x) + c, then

A f(x) = |x² + 2x + 2| B f(x) = x² + 2x + 2 C k = –\(\frac{1}{2}\) D All of these

2. Evaluate: ∫ \(\frac{1-cosx}{cosx(1+cosx)}\) dx

3. ∫ cos(log.x)dx is equal to

A \(\frac{1}{2}\) x[cos (logx) + sin(log x)] B x[cos (log x) + sin(log x)] C \(\frac{1}{2}\) x[cos (log x) – sin(log x)] D x[cos (log x) – sin(log x)]

4. ∫ |x| dx is equal to

A \(\frac{1}{2}\) x² + C B –\(\frac{x^2}{2}\) + C C x|x| + C D \(\frac{1}{2}\) x|x| + C

5. ∫ sin xdx is equal to

A cos x + C B x sin x + \(\sqrt{1-x^2}\) + C C \(\frac{1}{\sqrt{1-x^2}}\) + C D x sin x – \(\sqrt{1-x^2}\) + C

6. ∫ cos (\(\frac{1}{x}\))dx equals

A x sec x + log |x + \(\sqrt{x^2-1}\)| + C B x sec x – log |x + \(\sqrt{x^2-1}\)| + C C -x sec x – log |x + \(\sqrt{x^2-1}\)| + C D None of these

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