Reduction Formula for Exponential-Power Integral
Define:
$$I_n=\int x^ne^{ax}\,dx$$
Then:
$$I_n=\frac{x^ne^{ax}}{a}-\frac{n}{a}I_{n-1}$$
Usage
- Used to reduce integrals involving powers of $$x$$ multiplied by an exponential function.
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CAT Formulas
Indefinite Integration
Reduction Formula for Exponential-Power Integral
Reduction Formula for Exponential-Power Integral
Define:
$$I_n=\int x^ne^{ax}\,dx$$
Then:
$$I_n=\frac{x^ne^{ax}}{a}-\frac{n}{a}I_{n-1}$$
Usage
- Used to reduce integrals involving powers of $$x$$ multiplied by an exponential function.
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