integral of x 3 times e x 2 The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises It helps you practice by showing you the full working step
Use substitution method by considering x 2 u so that it is x dx 1 2 du The given integral is thus transformed to 1 2ue u du Now integrate it by parts to have 1 2 ue u e u C Step by step solution Alternate forms of the integral Series expansion of the integral at x 0 Big O notation Download Page POWERED BY THE WOLFRAM LANGUAGE Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals
integral of x 3 times e x 2
integral of x 3 times e x 2
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Enter the function you want to integrate into the editor The Integral Calculator solves an indefinite integral of a function You can also get a better visual and understanding of the function and area under the curve using our graphing tool Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms
The Integral Calculator is an indispensable online assistant for working with indefinite integrals Our user friendly digital platform lets you calculate integrals and also provides step by step solutions to improve your skills in taking integrals How to Use the Integral Calculator Input Begin by entering the function you want to integrate Calculator integrates functions using various methods common integrals substitution integration by parts partial fraction decomposition trigonometric hyperbolic logarithmic identities and formulas properties of radicals Euler
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The integral of a function times a constant 3 is equal to the constant times the integral of the function 3 int x 2dx Apply the power rule for integration displaystyle int x n dx frac x n 1 n 1 where n represents a number For example you can express int x 2 mathrm d x in elementary functions such as frac x 3 3 C However the indefinite integral from infty infty does exist and it is sqrt pi so explicitly int infty infty e x 2 sqrt pi
How do you integrate x3 e x2 2 using integration by parts Calculus Techniques of Integration Integration by Parts 2 Answers Cem Sentin Nov 16 2017 x3 ex2 2 dx x2 2 ex2 2 C Explanation x3 ex2 2 dx x2 xex2 2 dx I used integration by parts with u x2 and dv xe x2 2 dx so du 2x dx and v ex2 2 To integrate x to a power times e to a power we expect to differentiate the x and integrate the e to a power int x 2 e x 2 dx In order to integrate e x 2 dx we need an x so that we can use substitution int x 2 e x 2 dx int x e x 2 x dx
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integral of x 3 times e x 2 - Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph