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Indefinite Integrals (Anti-Derivatives)
MathThe antiderivative of a function is equivalent of the integral of that function. Therefore the antiderivative of `(x^2+2x+2)^(1/2)` with respect to `x` is equivalent to `int (x^2+2x+2)^(1/2)dx`...
MathThe integral `int (2+3*x)/(x^2+1) dx` has to be determined. `int (2+3*x)/(x^2+1) dx` => `int 2/(x^2+1) dx + int 3*x/(x^2 + 1) dx` => `2*int 1/(x^2+1) dx + 3*int x/(x^2 + 1) dx` =>...
Indefinite Integrals (Anti-Derivatives)You need to perform the inverse operation to differentiation, hence, performing integration yields: `int (2x + 5)e^(x^2 + 5x) dx ` You should come up with the substitution, such that: `x^2 + 5x = u...