Math Problem Statement

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Find the most general antiderivative for the function (3x^4 - 5/x^5 - 3).

Solution

Antiderivative=35x5+5x43x+C\text{Antiderivative} = \frac{3}{5}x^5 + \frac{5}{x^4} - 3x + C

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Math Problem Analysis

Mathematical Concepts

Antiderivatives
Integration of Polynomials
Power Rule for Integration

Formulas

∫x^n dx = (1/(n+1))x^(n+1) + C, where n ≠ -1

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12