Final answer to the problem
$5\sum_{n=0}^{\infty } \frac{2^nx^{\left(2n+1\right)}}{\left(2n+1\right)\left(n!\right)}+C_0$
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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
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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The integral of a function times a constant ($5$) is equal to the constant times the integral of the function
Learn how to solve integrals of exponential functions problems step by step online.
$5\int e^{2x^2}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(5e^(2x^2))dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. Rewrite the function e^{2x^2} as it's representation in Maclaurin series expansion. We can rewrite the power series as the following. The power of a product is equal to the product of it's factors raised to the same power.
Final answer to the problem
$5\sum_{n=0}^{\infty } \frac{2^nx^{\left(2n+1\right)}}{\left(2n+1\right)\left(n!\right)}+C_0$
