Find int(x+3)(x-7) d x

Question

Accepted Answer

Step:1 ：Given the integral to solve is (int(x+3)(x-7) dx)Step:2 ：First, we expand the expression inside the integral to get (x^2 - 4x - 21)Step:3 ：Then, we integrate term by term to get (frac{x^3}{3} - 2x^2 - 21x)Step:4 ：Finally, we add the constant of integration, C, to get the final answerStep:5 ：The integral of the function ((x+3)(x-7)) with respect to x is (boxed{frac{x^3}{3} - 2x^2 - 21x + C})

Answer

Step: 1 ：Given the integral to solve is (int(x+3)(x-7) dx)Step: 2 ：First, we expand the expression inside the integral to get (x^2 - 4x - 21)Step: 3 ：Then, we integrate term by term to get (frac{x^3}{3} - 2x^2 - 21x)Step: 4 ：Finally, we add the constant of integration, C, to get the final answerStep: 5 ：The integral of the function ((x+3)(x-7)) with respect to x is (boxed{frac{x^3}{3} - 2x^2 - 21x + C})

Find $\int(x+3)(x-7) d x$

Answer

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