
How do you find the integral of ?
Answer
465.3k+ views
Hint: In the above question we have to find the integral of . As you know that the integration of an exponential function is the same. Moreover, in integration, we cannot integrate any constant number. So in the final answer, we add a constant. So let us see how we can solve this problem.
Step by step solution:
Let us find the integral of . This question cannot be solved or we can say that it has no finite solution. We will use an infinite series to solve this problem.
(for all x), it follows that,
(for all x)
We will use the formula of and we will integrate each of them.
Applying integration on both the sides
We can see that we don’t get any feasible finite solution for the given problem.
Note:
In the above solution we solved the integration for but we get an infinite solution. According to Wolfram Alpha theorem, the antiderivative whose graph goes through the origin as , where erfi(x) is called the "imaginary error function". Also, we have given the constant term in the integration as C.
Step by step solution:
Let us find the integral of
We will use the formula of
Applying integration on both the sides
We can see that we don’t get any feasible finite solution for the given problem.
Note:
In the above solution we solved the integration for
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