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If of ∫ (cos x + cos2x/(2cos x – 1)) dx = A sinx + Bx + c, find the value of A + B + 3.

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in Integrals calculus by (37.0k points)

If of ∫ (cos x + cos2x/(2cos x – 1)) dx = A sinx + Bx + c, find the value of A + B + 3.

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1 Answer

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by (38.6k points)
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Best answer

The given integral is

= ∫ (cos x + 1) dx 

= sin x + x + c 

Clearly, A = 1, B = 1 

Hence, the value of A + B + 3 = 5. 

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