Calculate the integral and write the answer in simplest form. int(-6+2x^(5))dx Answer:

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Calculate the integral and write the answer in simplest form.  int(-6+2x^(5))dx Answer:

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Given Integral: We are given the integral of a polynomial function: int(-6 + 2x^5)dx To solve this, we will integrate each term separately.Integrating Constant Term: First, we integrate the constant term -6 with respect to x: int(-6)dx = -6x This is because the integral of a constant a with respect to x is ax.Integrating Polynomial Term: Next, we integrate the term 2x^5 with respect to x: int(2x^5)dx = (2/6)x^(5+1) = (1/3)x^6 This follows from the power rule of integration, which states that the integral of x^n with respect to x is (x^(n+1))/(n+1), provided n is not equal to -1.Combining Integrals: Now, we combine the results of the two integrals: -6x + (1/3)x^6 This is the antiderivative of the given function.Adding Constant of Integration: Finally, we add the constant of integration C to our result to get the most general form of the antiderivative: -6x + (1/3)x^6 + C This is the indefinite integral of the given function.

Calculate the integral and write the answer in simplest form. $\newline$ $\int\left(-6+2 x^{5}\right) d x$ $\newline$ Answer:

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Calculate the integral and write the answer in simplest form.\newline∫(−6+2x5)dx \int\left(-6+2 x^{5}\right) d x ∫(−6+2x5)dx\newlineAnswer:

Calculate the integral and write the answer in simplest form. $\newline$ $\int\left(-6+2 x^{5}\right) d x$ $\newline$ Answer: