Mathematics: I need help, can anyone help me??? I ll give anyone brainliest for correct answers

General Formulas and Concepts:CalculusIntegrationIntegralsIntegration Rule [Reverse Power Rule]: Integration Rule [Fundamental Theorem of Calculus 1]: Step-by-step explanation:Step 1: DefineIdentifyStep 2: Integrate[Integral] Reverse Power Rule: Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: Topic: AP Calculus...

I need help, can anyone help me??? I ll give anyone

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lonelynomad00

07.06.2021

Mathematics

$\displaystyle \int\limits^2_1 {x^3} \, dx = \frac{15}{4}$

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int\limits^2_1 {x^3} \, dx$

Step 2: Integrate

[Integral] Reverse Power Rule: $\displaystyle \int\limits^2_1 {x^3} \, dx = \frac{x^4}{4} \bigg| \limits^2_1$ Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^2_1 {x^3} \, dx = \frac{15}{4}$

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

Unit: Integration

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