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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
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We can solve the integral $\int e^{-x}dx$ by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it $v$), which when substituted makes the integral easier. We see that $-x$ it's a good candidate for substitution. Let's define a variable $v$ and assign it to the choosen part
Learn how to solve problems step by step online. Solve the differential equation int(e^(-x))dxu=-x. We can solve the integral \int e^{-x}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it v), which when substituted makes the integral easier. We see that -x it's a good candidate for substitution. Let's define a variable v and assign it to the choosen part. Now, in order to rewrite dx in terms of dv, we need to find the derivative of v. We need to calculate dv, we can do that by deriving the equation above. Isolate dx in the previous equation. Substituting v and dx in the integral and simplify.
