Integrate the following: Find integral (4x2 + 4x + 4) dx

May 20, 2026Mathematics

ScanSolve AI Answer

May 20, 2026

Answer

\frac{x^{n+1}}{n+1} + C$, to each term.

Here's the completion of the previous problem and the solution for the new one.

1) Integrate the following

i) Find $\int (4x^2 + 4x + 4) dx$

Step 1: Apply the power rule for integration, $\int x^n dx = \frac{x^{n+1}}{n+1} + C$ , to each term. $\int (4x^2 + 4x + 4) dx = 4\frac{x^{2+1}}{2+1} + 4\frac{x^{1+1}}{1+1} + 4x + C$

Step 2: Simplify the expression.

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Here's the completion of the previous problem and the solution for the new one. 1) Integrate the following i) Find (4x^2 + 4x + 4) dx Step 1: Apply the power rule for integration, x^n dx = x^n+1n+1 + C, to each term.

Asked on May 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 20, 2026

Here's the completion of the previous problem and the solution for the new one. 1) Integrate the following i) Find (4x^2 + 4x + 4) dx Step 1: Apply the power rule for integration, x^n dx = x^n+1n+1 + C, to each term. (4x^2 + 4x + 4) dx = 4x^2+12+1 + 4x^1+11+1 + 4x + C Step 2: Simplify the expression. = 4x^3