Final answer to the problem
$\frac{1}{5}e^x\cos\left(2x\right)+\frac{2}{5}e^x\sin\left(2x\right)+C_0$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
We can solve the integral $\int e^x\cos\left(2x\right)dx$ 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. Find the integral int(e^xcos(2x))dx. We can solve the integral \int e^x\cos\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. Solve the integral to find v.
Final answer to the problem
$\frac{1}{5}e^x\cos\left(2x\right)+\frac{2}{5}e^x\sin\left(2x\right)+C_0$
