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Course: MAT421 Calculus I

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QUESTION 4 a) Given g(x)dx =8 and [5g(x)-6h(x)]dx = 28 . Find [h(x)dx. (4 marks) sin(1/x) b) Evaluate dx 4x- (4 marks) c) Find the area of y = over the interval [2, 10] by i) definite integral i) midpoint approximation with 4 subintervals. (7 marks) d) Evaluate the integral f(x) dx if f (x) _ 1-e"* for -1sx