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

General Formulas and Concepts:

Calculus

Integration

Integration by Parts:                                                                                              

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

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

Unit: Integration

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

The formula for calculating integration by part is expressed as:

Given

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

Comparing the general formula above to the given integral function

f(x) = x⁷ and g(x) = e^10x

Comparing this with the formula

u =  x⁷ and dv = e^10xdx

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