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If $\int (\sin 2 x - \cos 2 x) d x = \frac{1}{\sqrt{2}} \sin (2 x + k) + C$
then

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k=π/4

k=5π/4

k=3π/4

none of these

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detailed solution

Correct option is B

Write the given integral as −2∫cos⁡(2x+x/4)dx=−12sin⁡2x+π4+C=12sin⁡2x+5π4+C.

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If ∫(sin⁡2x−cos⁡2x)dx=12sin⁡(2x+k)+Cthen

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $\int (\sin 2 x - \cos 2 x) d x = \frac{1}{\sqrt{2}} \sin (2 x + k) + C$
then