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/ #### \( x^4 - x^2 + x + C \)
#### \( x^4 - x^2 + x + C \)
February 22, 2026
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\( \int 4x^3 \, dx = x^4 \),
Combine and add the constant of integration \( C \):
\[ \int (4x^3 - 2x + 1) \, dx = x^4 - x^2 + x + C \].
Find the inverse of the function \( f(x) = rac{2x + 3}{x - 1} \).
Set \( y = rac{2x + 3}{x - 1} \).
Swap \( x \) and \( y \): \( x = rac{2y + 3}{y - 1} \).
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