how to find integration
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Answer:
raani hi jaan hai na... plz don't talk such negativity that you are going to die....
Well here is your answer:
To carry out integration, it is important to know the general power rule. It is the exact opposite of the power rule for differentiation.
Let's look at a general function
When we take the integral of the function, we first add 1 to the exponent, and then divide the term by the sum of the exponent and 1.
After we have done this to each term, we add a constant at the end. Recall that taking the derivative of a constant makes it go away, so taking the integral of a function will give us a constant. We label it C because the constant is unknown - it could be any number! Because we can have infinitely as many possible functions for the integral, we call it the indefinite integral.
Let's do an example.
Find the integral of
We start with the first term. We look at the exponent of 2 and increase it by 1, then we divide the term by the resulting exponent of 3.
Then we look at the next term and do the same thing. Since it has an exponent of 1, the resulting exponent will be 2, so we divide the whole term by 2.
The last term has an x value but we just don't see it. We can imagine the last term as -3x0. This is the equivalent to -3(1). If we use the power rule of integration, we add 1 to the exponent to raise it to the first power, and then we divide the term by 1.
All we need to do is add a constant at the end, and we are done.
This power formula for integration works for all values of n except for n = -1 (because we cannot divide by 0). We can take the opposite of the derivative of the logarithmic function to solve these cases.
I hope this helps you...