Calculate the integral and write the answer in simplest form. int(6x^(-3)-5x^(4))dx Answer:

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Calculate the integral and write the answer in simplest form.  int(6x^(-3)-5x^(4))dx Answer:

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Identify Integral: Identify the integral to be solved. We need to find the indefinite integral of the function 6x^(-3)-5x^(4) with respect to x.Apply Power Rule: Apply the power rule for integration to each term separately. The power rule for integration states that ∫x^n dx = x^(n+1)/(n+1) + C, where n ≠ -1. For the first term, 6x^(-3), we add 1 to the exponent and divide by the new exponent. For the second term, -5x^(4), we also add 1 to the exponent and divide by the new exponent.Integrate 6x^(-3): Integrate the first term, 6x^(-3). ∫6x^(-3) dx = 6 * ∫x^(-3) dx = 6 * x^(-3+1)/(-3+1) = 6 * x^(-2)/(-2) = -3x^(-2) + C₁Integrate -5x^(4): Integrate the second term, -5x^(4). ∫-5x^(4) dx = -5 * ∫x^(4) dx = -5 * x^(4+1)/(4+1) = -5 * x^(5)/5 = -x^(5) + C₂Combine Integrals: Combine the results of the two integrals. Since the integral of a sum is the sum of the integrals, we add the results from Step 3 and Step 4. -3x^(-2) - x^(5) + C₁ + C₂ We can combine the constants C₁ and C₂ into a single constant C because the sum of two arbitrary constants is also an arbitrary constant. -3x^(-2) - x^(5) + CWrite Final Answer: Write the final answer in simplest form. The simplest form of the integral is -3x^(-2) - x^(5) + C.

Calculate the integral and write the answer in simplest form. $\newline$ $\int\left(6 x^{-3}-5 x^{4}\right) d x$ $\newline$ Answer:

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Calculate the integral and write the answer in simplest form.\newline∫(6x−3−5x4)dx \int\left(6 x^{-3}-5 x^{4}\right) d x ∫(6x−3−5x4)dx\newlineAnswer:

Calculate the integral and write the answer in simplest form. $\newline$ $\int\left(6 x^{-3}-5 x^{4}\right) d x$ $\newline$ Answer: