Final answer:
U-substitution is a technique used in calculus to simplify integrals by substituting a new variable. The new variable should be chosen in such a way that it eliminates complexities in the integral. Substitute the expression and solve the quadratic equation to find the value of the unknown variable.
Step-by-step explanation:
U-substitution is a technique used in calculus to simplify integrals. It involves substituting a new variable in place of the original variable in order to simplify the expression. The new variable should be chosen in such a way that it eliminates any complexities in the integral and makes it easier to solve.
For example, if we have an integral of the form ∫f(u) du, we can let u = g(x) and find the derivative of u with respect to x. Then we substitute the expression for du in terms of dx into the integral and simplify it.
By substituting the expression into the given equation, we can eliminate the variable '2' and solve for u'₁ as an unknown. The solution to the quadratic equation will give us the value of u'₁.