♫musicjinni

(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)

video thumbnail
This video explains how to determine solutions to differential equations in the form of y'=f(x) as definite integrals.
https://mathispower4u.com

The Antiderivative

(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)

Definite Integration Using Substitution (No Trig)

Properties of The Definite Integral

Evaluate a Definite Integral Using U-Substitution: sin(ax)

Definite Integral with Discontinuity and U-substitution a/(x-b)^2

Determine an Antiderivative with Initial Condition (a^x+x)

Ex: Evaluate a Definite Integral Using a Geometric Formula (Semicircle)

Antiderivatives: Find a Function Given the Second Derivative (Linear)

Evaluate a Definite Integral Using U-Substitution: a(bx-c)^3

Ex 1: Determine Antiderivatives

Ex: Definite Integration Involving Inverse Sine - 1/sqrt(a^2-u^2)

Find an Antiderivative with an Initial Condition

Ex: Evaluate a Basic Definite Integral of a Constant Function Using the FTC

Integration Tables - Basic Integration Involving a^2-u^2

Ex: Integration by Parts - Basic Example

Evaluate a Definite Integral: Product of Two Binomials

Determine an Antiderivative Involving Arctangent

Differentiation and Integration Using Power Series

Evaluate a Definite Integral Using U-Substitution: xe^(ax^2)

Definite Integration Using Substitution - Int(e^(1/x^n)/x^(n+1))

Ex 2: Integration Using Partial Fraction Decomposition and Long Division

Ex: Indefinite Integration Involving a Product

Ex 1: Integration Using Trigonometric Substitution

Examples Part 2: Integrate using the Six Basic Trig Integral Formulas

The Antiderivative of a Function involving Secant Squared

Ex: Find the Particular Solution to a Basic Differential Equation

Indefinite Integration of Vector Valued Functions with Initial Conditions

Interpret the Meaning of a Definite Integral (Revenue)

Ex 6: Integration Using Substitution

Disclaimer DMCA