0
When finding an antiderivative, substitution can be very helpful. In your integral expression, look for a term that, if you took the derivative and perhaps manipulated it a bit, would give you another term in the same equation. For example, if your integral is ∫tanxdx or ∫((sinx)/(cosx))dx , you can choose cosx as your arbitrary variable (often u or w). If u=cosx, du=-sinxdx. Therefore, your expression using u becomes -∫du/u. We know that the antiderivative of 1/u is ln (absolute value x) +C. So, our answer with u is -ln (abs. val. u) +C. But BE CAREFUL, this is not your final answer. You must plug in the value you originally designated as u. Therefore, the final answer is -ln (abs. val. cosx) +C, with C as an arbitrary constant.
Add your answer:
Earn +20 pts
What is the integral of cscx?
- ln (cscx + cotx) + C You use u substitution.
What are the pros and cons of using the substitution or elimination method in equations?
A pro for solving equations through graphing can allow one to visualize problems which can allow one to make better sense to the problem. However, fractions, and decimals can be very difficult to plot accurately. Furthermore, solutions could fall outside of the boundaries of a graph making them impossible to see with a graph. A pro for solving equations through either the methods of substitution and elimination allow one to achieve an exact answer regardless of fraction, decimal, or integer. However, by using these methods one will have a more difficult time with visualization without the use of a graph.
When you to be use problem solving method?
When you have a problem that you need to solve!
What does computation method mean?
maybe it means to use a calculator
What is the disadvantage of substitution of systems of equations?
If done properly there are no disadvantages.
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
2x-3y equals -2 4x plus y equals 24 use substitution method and work the system of equation?
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
Which technique of differentiation does the substitution method attempt to undo?
The substitution method undoes the chain rule.
Is it a crime to use the substitution method urine drug screen for your probation officer?
Zimbabweeeee!
Why is substitution the best method in solving systems of equations?
It is not always the best method, sometimes elimination is the way you should solve systems. It is best to use substitution when you havea variable isolated on one side
Is th answer in elimination method is same with substitution method?
Yes
Who Invented the Substitution Method?
Ostrowski
When solving by the substitution method what happens when one variable cancels out?
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.
Use the substitution method to solve the system of equations Choose the correct ordered pair?
2x+7y=29 x=37-8y
Week 6 quiz Axia MAT 116 help?
6a=6-b and 6a=4-b use the method of substitution
Can quadratic systems be solved using elimination and substitution?
You can solve lineaar quadratic systems by either the elimination or the substitution methods. You can also solve them using the comparison method. Which method works best depends on which method the person solving them is comfortable with.
What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
