Translation of Variable
For:
$$x=t+c$$
we have:
$$dx=dt$$
and:
$$\int_a^bf(x-c)\,dx=\int_{a-c}^{b-c}f(t)\,dt$$
Usage
- Used to shift the variable and simplify translated functions.
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CAT Formulas
Indefinite Integration
Translation of Variable
Translation of Variable
For:
$$x=t+c$$
we have:
$$dx=dt$$
and:
$$\int_a^bf(x-c)\,dx=\int_{a-c}^{b-c}f(t)\,dt$$
Usage
- Used to shift the variable and simplify translated functions.
---
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