Final answer to the problem
$\frac{4}{9}e^{2x}\sin\left(2x\right)-\frac{4}{9}e^{2x}\cos\left(2x\right)+C_0$
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Step-by-step Solution
How should I solve this problem?
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
The integral of a function times a constant ($8$) is equal to the constant times the integral of the function
Learn how to solve integral problems step by step online.
$8\int e^{2x}\sin\left(2x\right)dx$
Learn how to solve integral problems step by step online. Find the integral int(8e^(2x)sin(2x))dx. The integral of a function times a constant (8) is equal to the constant times the integral of the function. We can solve the integral \int e^{2x}\sin\left(2x\right)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.
Final answer to the problem
$\frac{4}{9}e^{2x}\sin\left(2x\right)-\frac{4}{9}e^{2x}\cos\left(2x\right)+C_0$
