- #1
cummings15
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Homework Statement
find the integral of cot^(-1)of (5x)
Homework Equations
Integration by parts
The Attempt at a Solution
u = x
du = dx
dv = cot ^ (-1)
v = ?
and then i would plug into equation [uv- integral of vdu ]
Integration by parts is a mathematical technique used to find the integral of a function by breaking it down into simpler parts.
Integration by parts is typically used when the integral involves a product of two functions, and one of the functions becomes simpler when differentiated.
To apply integration by parts, you must use the formula: ∫ u dv = uv - ∫ v du, where u and v are functions and dv and du are the derivatives of those functions.
The steps for using integration by parts are:1. Identify u and dv in the integral.2. Find the derivative of u and the antiderivative of dv.3. Substitute these into the integration by parts formula.4. Simplify and solve for the integral.
Yes, integration by parts can be used for definite integrals by applying the formula and then substituting the limits of integration into the final solution.