To find the integral of the function 2x/(1+x^2), we can use the method of substitution. Here are the steps:

1. Let u = 1 + x^2. Then, du = 2x dx.

2. Substitute u and du into the integral. The integral becomes ∫ du/u.

3. The integral of du/u is ln|u| + C, where C is the constant of integration.

4. Substitute back for u to get the final answer: ln|1 + x^2| + C.

Question

To find the integral of the function 2x/(1+x^2), we can use the method of substitution. Here are the steps:

1. Let u = 1 + x^2. Then, du = 2x dx.

2. Substitute u and du into the integral. The integral becomes ∫ du/u.

3. The integral of du/u is ln|u| + C, where C is the constant of integration.

4. Substitute back for u to get the final answer: ln|1 + x^2| + C.

Knowee AI · Accepted Answer

To find the integral of the function 2x/(1+x^2), we can use the method of substitution. Here are the steps:

1. Let u = 1 + x^2. Then, du = 2x dx.

2. Substitute u and du into the integral. The integral becomes ∫ du/u.

3. The integral of du/u is ln|u| + C, where C is the constant of integration.

4. Substitute back for u to get the final answer: ln|1 + x^2| + C.

Find the integration of 2x/1+x2