- #1
cscott
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Homework Statement
Can anybody help me integrate [tex]x^3 e^{x^2}[/tex]
The Attempt at a Solution
I can't see how to do it by substitution or integration by parts.
cscott said:Homework Statement
Can anybody help me integrate [tex]x^3 e^{x^2}[/tex]
The Attempt at a Solution
I can't see how to do it by substitution or integration by parts.
cscott said:I think I see where I messed up in my substitution, which me me think it'd be useless
So with a u substitution I should get [tex]\frac{1}{2}u \cdot e^{u}[/tex] ?
Thanks for all the suggestions.
Substitution is a method used in calculus to simplify complex expressions by replacing a variable with a new variable or expression. This allows for easier integration or differentiation.
The choice of substitution depends on the form of the original expression. It is important to select a substitution that will eliminate or simplify the most complex part of the expression.
Integration by parts is a technique used to find the integral of a product of two functions. It involves splitting the product into two parts and applying the integration formula to one part while differentiating the other.
Integration by parts is typically used when the integral involves a product of functions, and the power rule, substitution, or other methods are not applicable.
Yes, substitution and integration by parts can be used together in more complex integrals. Substitution can be used to simplify the integrand, and then integration by parts can be applied to find the integral.