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Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph.
So in order to integrate a function of the form ef ( x), let u = f(x), and thus du = f ′ (x)dx, which allows you to 'solve' for dx in terms of du. Then your original integral goes from: ∫ef ( x) dx to ∫ eu f ′ (x)du. Of course, this is not always so easy to integrate, as Moron points out. When f(x) is linear, you have a nice situation ...
In this article, we will see the integration rules to be followed for solving an integral of the type e x [f(x) + f ’(x)], where f ’(x) is the derivative of f(x). We will use integration by parts and some other integration rules to solve these equations.
The solve for x calculator allows you to enter your problem and solve the equation to see the result. Solve in one variable or many.
Answers without working may gain no credit. 1. Figure 1. The curve shown in Figure 1 has equation exÖ(sin x), 0 £ x £ p. The finite region R bounded by the curve and the x-axis is shown shaded in Figure 1. p. Copy and complete the table below with the values of y corresponding to x = and x =. 4 2.
Mar 22, 2019 · In the original question, you ask about computing $E[Z]$, where $f(x) = e^{s x}$ for some $s > 0$ and $Z = f(X)$.