Mathematics, 26.10.2020 17:30 nwatase

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

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Answer from: ricardorendon100

$\displaystyle u = x^7$

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

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

Answer from: cisneros3

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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Answer from: Quest

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove.

an inaccurate proof leads to errors, or stating results that are not accurate. which wil mess the probelm up you dont want this

Answer from: Quest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$

cost of 2 dresses if one cost at $27.50 is $2\times 27.50=$55$

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is $25.5+$55+$17.50=$98

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

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