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MATHEMATICS

JAMB 2011 - Question 39

Mathematics 2011 JAMB Past Questions - Question 39: Evaluate S (3-2x) dx

Evaluate S (3-2x) dx

A: 3

B: 5

C: 2

D: 6

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Correct Answer

Explanation

To evaluate the integral of (3 - 2x) with respect to x, we can use the power rule of integration.The power rule states that the integral of x^n with respect to x is (x^(n+1))/(n+1), where n is any real number except -1.In this case, we have the integral of (3 - 2x) with respect to x. Applying the power rule, we integrate each term separately:∫(3 - 2x) dx = ∫3 dx - ∫2x dxIntegrating each term:= 3x - (2/2)x^2 + CSimplifying:= 3x - x^2 + CTherefore, the integral of (3 - 2x) with respect to x is 3x - x^2 + C, where C is the constant of integration.