SOLUTION: Find the constant of integration, C if y=∫〖12x(x^2+3)^5 〗 dx and the curve passes through the point ([5],[7])

Question 826773: Find the constant of integration, C if y=∫〖12x(x^2+3)^5 〗 dx and the curve passes through the point ([5],[7])
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Let u =
Then du = 2x*dx

Now we'll substitute in the coordinates of the given point:

P.S. Did the brackets, [], around the coordinates mean something?
P.P.S. Going from

is not quite correct. It should be

followed by

But 6C is a constant, just like C is. It is common practice to ignore the 6 and just use C. But it is possible that your teacher might want you to use the 6. In this case it is 6C which is -481890293. Divide by 6 to get the original C.
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SOLUTION: Find the constant of integration, C if y=&#8747;&#12310;12x(x^2+3)^5 &#12311; dx and the curve passes through the point ([5],[7])

SOLUTION: Find the constant of integration, C if y=∫〖12x(x^2+3)^5 〗 dx and the curve passes through the point ([5],[7])