Find the indefinite integral $\left(6\sqrt[7]{x^2} + \frac{16}{x^9} + 12e^{4x} - \frac{8}{x}\right)dx.$
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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. Applying the power rule to the first term, we have: ∫(6Vx^2) dx = (6V/(2+1))x^(2+1) + C = 2Vx^3 + C For the second term, we need to use a Show more…
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