what is antiderivative of e x 2 Calculus Find the Antiderivative e x 2 ex2 e x 2 Write ex2 e x 2 as a function f x ex2 f x e x 2 The function F x F x can be found by finding the indefinite integral of the derivative f x f x F x f x dx F x f x d x Set up the integral to solve F x ex2dx F x e x 2 d x
I was wondering what the antiderivative of e x2 was and when I wolfram alpha d it I got e x2dx 1 2 erf x C So I of course didn t know what this erf was and I looked it up on wikipedia where it was defined as erf x 2 x 0 e t2dt To my mathematically illiterate mind this is a bit too circular to Antiderivative of e x 2 Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music
what is antiderivative of e x 2
what is antiderivative of e x 2
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Antiderivative Rules
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Solved Find Antiderivatives Integral E x e x 1 Integral Chegg
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Figure 4 11 1 The family of antiderivatives of 2x consists of all functions of the form x2 C where C is any real number For some functions evaluating indefinite integrals follows directly from properties of derivatives For example for n 1 xndx xn 1 n 1 C which comes directly from Antiderivative Calculator With Steps Antiderivative calculator finds the antiderivative of a function step by step with respect to a variable i e x y or z This online integration calculator also supports upper bound and lower bound in case you are working with minimum or maximum value of intervals With this integral calculator you can get step
Figure 4 85 The family of antiderivatives of 2x consists of all functions of the form x2 C where C is any real number For some functions evaluating indefinite integrals follows directly from properties of derivatives For example for n 1 xndx xn 1 n 1 C which comes directly from Example 3 4 4 Evaluate 3 1xdx in two ways By sketching the graph of y x and geometrically finding the area By finding an antiderivative of F x of the integrand and evaluating F 3 F 1 Solution The graph of y x is shown below and the shaded region corresponding to the integral has area 4 One antiderivative of x is F x 1
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It can be written 2 sqrtpi erfi x Where erfi x is called the imaginary error function at x The function e x 2 has an antiderivative but there is no nice way Explanation The andtiderivative cannot be expressed by a finite algebraic expression involving algebraic operations trigonometric functions and exponential and logarithmic functions There is no closed form expression for the antiderivative of e x 2 The andtiderivative cannot be expressed by a finite algebraic expression involving
Antiderivative of e x 2 Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music Free derivative calculator differentiate functions with all the steps Type in any function derivative to get the solution steps and graph
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what is antiderivative of e x 2 - It is sqrtpi 2 times a function called the imaginary error function The function e x 2 has an antiderivative that is not finitely expressible using elementary