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An antiderivative without specific limits, includes C.
It represents the process of integration.
To simplify difficult integrals by changing variables.
∫f(x)dx = F(x) + C, where F' = f.
Choose u=g(x), then rewrite the integral in terms of u.
Result is (1/6)(4x + 1)^(3/2) + C.
1/2(x^2 + 1)^2 + C using u = x^2 + 1.
Use x = 2sin(θ) for trigonometric substitution.
x/2 + (sin(2x)/4) + C using the identity.
Used in biology, engineering, and physics for growth.
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