Math Problem Statement

solve

Solve the integrals and find the required functions from the provided exercises in the image.

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Definite and Indefinite Integrals
Power Rule for Integration
Initial Conditions for Functions

Formulas

∫x^n dx = (x^(n+1))/(n+1) + C, where n ≠ -1
∫e^x dx = e^x + C
∫a^x dx = (a^x)/(ln(a)) + C, where a > 0 and a ≠ 1

Theorems

Fundamental Theorem of Calculus
Linearity of Integration

Suitable Grade Level

Undergraduate Calculus or Advanced High School Calculus

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