Evaluate the following intergal:-
�çMvdv ,
with upper limit 'v' and lower limit 'u'
To evaluate the integral ∫Mvdv with upper limit 'v' and lower limit 'u', we need some additional information. Specifically, we need to know the function M(v) in order to perform the integration.
Here are the steps to evaluate the integral:
1. Identify the function M(v): Determine the expression or formula for M(v) given in the problem. For example, if M(v) = v^2 + 3v - 5, then M(v) = v^2 + 3v - 5.
2. Substitute the upper and lower limits: Replace 'v' in the expression M(v) with 'u' and 'v' respectively to get M(u) and M(v). This step gives us the integrand M(v) after substitution.
3. Integrate the function: Once we have the integrand, we can integrate it. To integrate M(v), you can follow the rules of integration. If M(v) is a polynomial, you can apply the power rule or use other integration techniques for more complex functions. The indefinite integral of M(v) will give us a new function F(v) + C, where C is the constant of integration.
4. Evaluate the definite integral: Once we have the antiderivative F(v), we can evaluate the definite integral by subtracting the value of F(u) from F(v). This will give us the result of the integral evaluated between the upper and lower limits.
It is important to note that without the specific function M(v) provided in the original question, we cannot perform the integration or provide a numerical answer.