Final answer to the problem
$\frac{u}{-5e^{5x}}=-5x$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
The integral of a function times a constant ($u$) is equal to the constant times the integral of the function
$u\int e^{-5x}dx=-5x$
Learn how to solve integration by substitution problems step by step online. Solve the differential equation int(e^(-5x)u)dx=-5x. The integral of a function times a constant (u) is equal to the constant times the integral of the function. Solve the integral u\int e^{-5x}dx and replace the result in the differential equation.
Final answer to the problem
$\frac{u}{-5e^{5x}}=-5x$
