I need these two calculus problems solved step by step with written explanation.

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The constant of integration can be found if you know one point on the curve. For the following problem, find the constant of integration. I need each problem solved step by step with written explanation.

  1. Find the constant of integration, C if:

      y=∫(9x^2+2x-7)dx, and the curve passes through the point (4,9).

  2. Find the constant of integration, C if:
    y=∫12x(x^2+3)^5 dx,  and the curve passes through the point (5,6).

 

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