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  • John Rhodes
  • July 30, 2023
  • Calculus

How to Find the Integral of csc(x)dx Using Integration by Substitution

∫cscxdx To find the integral of csc(x)dx, we can use the technique of integration by substitution To find the integral of csc(x)dx, we can use the technique...
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  • John Rhodes
  • July 30, 2023
  • Calculus

The Indefinite Integral of e^x = e^x + C | Understanding the Constant of Integration in Mathematics.

∫e^x dx The integral of e^x dx is given by ∫e^x dx = e^x + C, where C is the constant of integration The integral of e^x...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Simplifying Integration | Finding the Antiderivative of e^u with Respect to u

∫e^u du The integral of e^u with respect to u is given by ∫e^u du The integral of e^u with respect to u is given by ∫e^u...
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  • John Rhodes
  • July 30, 2023
  • Calculus

A Step-by-Step Guide to Solving a Differential Equation using the Method of Integrating Factors – Math Tutorial

y’=x²e^x + 2xe^x To solve the given differential equation, we can use the method of integrating factors To solve the given differential equation, we can use the...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving a Differential Equation | Rewriting and Integrating Steps

y’=(-14x)/(x²+9)² To find a solution to this differential equation, we must first rewrite it in a form that is easier to work with To find a solution...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving a Differential Equation Using the Method of Integrating Factors | A Step-by-Step Guide

y’=(2x+3)(sinx)+(cosx)(x²+3x+5) To solve the given differential equation y’ = (2x+3)(sinx) + (cosx)(x²+3x+5), we will use the method of integrating factors To solve the given differential equation y’...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving the equation y’ = sin(π(2x+3)) and finding the derivative of y with respect to x

y’=sinπ(2x+3) The given equation is y’ = sin(π(2x+3)) The given equation is y’ = sin(π(2x+3)). To solve this equation, you need to find the derivative of y...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Finding the Original Function from its Derivative | Integrating 2xe^2 to Obtain y = x^2e^2 + C

y’=2xe² The given expression, y’ = 2xe^2, represents the derivative of a function y with respect to x The given expression, y’ = 2xe^2, represents the derivative...
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