integration of 1 2x 3 dx

integration of 1 2x 3 dx 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 by step integration

int e x cos x dx int cos 3 x sin x dx int frac 2x 1 x 5 3 int 0 pi sin x dx int a b x 2dx int 0 2 pi cos 2 theta d theta partial fractions int 0 1 frac 32 x 2 64 dx substitution int frac e x e x e x dx u e x Show More Integral Calculator Step 1 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

integration of 1 2x 3 dx

integration of 1 2x 3 dx
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In this video we will find the integral of 1 2x 3 Explanation Using the power rule we have 1 2x3 dx 1 2x 3dx 1 2 x 2 2 C 1 4x2 C Answer link

Step 1 1 1 Differentiate Step 1 1 2 By the Sum Rule the derivative of with respect to is Step 1 1 3 Evaluate Tap for more steps Step 1 1 3 1 Since is constant with respect to the derivative of with respect to is Step 1 1 3 2 Differentiate using the Power Rule which states that is where Step 1 1 3 3 Multiply by Step 1 1 4 Function to integrate Correct syntax is Incorrect syntax is 2x 1 6 2x 1 6 2x 1 6 frac 10x 1 x 2 4 10x 1 x 2 4 10x 1 x 2 4 left ln x right 2 ln x 2 ln 2 x x ln left frac x 1 x 1 right x ln x 1 x 1 x ln x 1 x 1

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Explanation Given 2x 3 dx from 1 3 3 1 2x 3 dx 3 1 2x dx 3 1 3dx Use kxn dx k 1 n 1 xn 1 C 3 1 2x dx 3 1 3dx 2 1 2x2 3x 3 1 x2 3x 3 1 32 3 3 12 3 1 9 9 1 3 0 2 2 Answer link Integrate 1 2x dx Have a question about using Wolfram Alpha 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

We can split the remaining integral into two x 2 x2 x 1 dx 1 2 2x 4 x2 x 1 dx 1 2 2x 1 x2 x 1 dx 3 x2 x 1 dx The reason for the trickery with the multiplying and dividing by 2 is to make the left When taking the integral of polynomials we can use a sort of inverse of the power rule for derivatives int ax n dx frac a n 1 x n 1 C When we get into more complex integrals such as integrals of products or quotients different methods and techniques of integration come in handy

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integration of 1 2x 3 dx - Function to integrate Correct syntax is Incorrect syntax is 2x 1 6 2x 1 6 2x 1 6 frac 10x 1 x 2 4 10x 1 x 2 4 10x 1 x 2 4 left ln x right 2 ln x 2 ln 2 x x ln left frac x 1 x 1 right x ln x 1 x 1 x ln x 1 x 1