Evaluate the integral \(\int (2x+7)(x^2+7x+8)^3 dx\) by making the substitution \(u = x^2 + 7x + 8\). \(\boxed{} + C\) NOTE: Your answer should be in terms of \(x\) and not \(u\).
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To find the differential du, we can differentiate both sides of the equation with respect to x: du/dx = d/dx (x^2 + 7x + 8) du/dx = 2x + 7 Now, solve for dx: dx = du / (2x + 7) Show more…
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