Mathematics: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the integral.) x7 e10x dx

Identify u and dv for finding the integral using

Ответ:

mateotrevino1

06.02.2022

Mathematics

$\displaystyle u = x^7$

$\displaystyle du = e^{10x} \ dx$

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration by Parts: $\displaystyle \int {u} \, dv = uv - \int {v} \, du$

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {x^7e^{10x}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u: $\displaystyle u = x^7$ Set dv: $\displaystyle du = e^{10x} \ dx$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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Ответ:

CarlsonB

06.02.2022

Mathematics

From the calculation, u is represented as x⁷ and dv as e^10xdx

The formula for calculating integration by part is expressed as:

Given $\int\limits f(x)g(x) \, dx$

Let u = f(x) and dv = g(x)dx, according to integration by part:

$\int\limits u \, dv = uv - \int\limits v \, du$

Comparing the general formula above to the given integral function $\int\limits x^7e^{10x} \, dx$

f(x) = x⁷ and g(x) = e^10x

Comparing this with the formula $\int\limit {u} \, dv$

u = x⁷ and dv = e^10xdx

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Ответ:

tkailyn

06.04.2022

Mathematics

Step-by-step explanation:

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Identify u and dv for finding the integral using integration by parts. (Do not evaluate the integral.) x7 e10x dx

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