Final answer to the problem
$1\frac{1}{3}\cdot e^{3\cdot 1}- 0\cdot \left(\frac{1}{3}\right)\cdot e^{3\cdot 0}+\frac{1}{9}-\frac{1}{9}\cdot e^{3}$
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Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
We can solve the integral $\int xe^{3x}dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve problems step by step online.
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve problems step by step online. Integrate the function xe^(3x) from 0 to 1. We can solve the integral \int xe^{3x}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Final answer to the problem
$1\frac{1}{3}\cdot e^{3\cdot 1}- 0\cdot \left(\frac{1}{3}\right)\cdot e^{3\cdot 0}+\frac{1}{9}-\frac{1}{9}\cdot e^{3}$
Exact Numeric Answer
$4.574564$
