If $$f(x)=$$$$cos$$⁡x then ∫$$2(f(x))2$$−$$14(f(x))3$$−$$3$$ $$f(x))dx$$ is equal to

Correct option is 1110sin⁡5x+12sin⁡x+C

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If $f (x) = \cos x$ then $\int (2 (f (x))^{2} - 1) (4 (f (x))^{3} - 3$
$f (x)) d x$ is equal to

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110sin⁡5x+12sin⁡x+C

15sin⁡5x+sin⁡x+C

115sin⁡5x−12sin⁡x+C

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detailed solution

Correct option is A

I=∫2cos2⁡x−14cos3⁡x−3cos⁡xdx=∫cos⁡2xcos⁡3xdx=12∫[cos⁡5x+cos⁡x]dx=110sin⁡5x+12sin⁡x+C

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If f(x)=cos⁡x then ∫2(f(x))2−14(f(x))3−3 f(x))dx is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $f (x) = \cos x$ then $\int (2 (f (x))^{2} - 1) (4 (f (x))^{3} - 3$
$f (x)) d x$ is equal to