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i keep getting a wrong answer ...could some someone help please ? Evaluate the i

ID: 3193405 • Letter: I

Question

i keep getting a wrong answer ...could some someone help please ?

Evaluate the indefinite integral. x38 sin(x39) dx We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in x38 sin(x39) dx for which the derivative is also present, though perhaps missing a constant factor. For example, x39 is part of this integral, and the derivative of x39 is which is also present except for a constant. If we choose u = x39, then du = 39x38 dx. If u = x39 is substituted into x38 sin(x39) dx, then we have x38 sjn u dx = sin u(x38 dx). We must also convert x38 dx into an expression involving u. We know that du = 39x38 dx, and so x38 dx = du.

Explanation / Answer

x38dx = [(sin u)/39]du

where u = x39