Find ∫(sin x + 2)dx

Assessment: JAMB UTME - Mathematics - 2010 Subject: General Mathematics

Question 1 Report

Find ∫(sin x + 2)dx
Answer Details
To integrate ∫(sin x + 2)dx, we can use the linearity of integration and the power rule of integration. ∫(sin x + 2)dx = ∫sin x dx + ∫2 dx Using the power rule of integration, we have: ∫sin x dx = -cos x + C where C is the constant of integration. ∫2 dx = 2x + C Therefore, ∫(sin x + 2)dx = ∫sin x dx + ∫2 dx = (-cos x + C) + (2x + C) = -cos x + 2x + 2C where C is the constant of integration. So, the correct option is: -cos x + 2x + K.

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