Find the indefinite integral and check the result by differentiating.\\ $\int (4x + 9)^2 (4) dx$ \\ $\int (4x + 9)^2 (4) dx = $
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The power rule states that the integral of x^n dx is (1/(n+1))x^(n+1) + C, where C is the constant of integration. So, for the given integral, we can rewrite it as: ∫ (4x+9)^2 * 4 dx = 4 ∫ (4x+9)^2 dx Now, let u = 4x+9. Then, du = 4dx. Substitute u and du into Show more…
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