We want to calculate the indefinite integral fx √√x + 5 dx by means of the substitution u = x + 5. We will omit constants of integration. First rewrite x in terms of u: Use your answer to find dx : du Recall that f f(x) dx = f f(x) dx du, and rewrite the original integrand x √√x+5 in terms of u: Evaluate this integral with respect to u: Finally, rewrite your solution as a function of x:

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