# What is the antiderivative of #(2+x^2)/(1+x^2)#?

We can split as follows:

By signing up, you agree to our Terms of Service and Privacy Policy

The antiderivative of (\frac{2 + x^2}{1 + x^2}) is (\ln(1 + x^2) + 2x - 2\arctan(x) + C), where (C) is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you integrate #8/((x-3)^2+1)# using partial fractions?
- What is the integral of #int sin^3x/cos^2x dx#?
- What is the area below the curve #f(x)=x^3 -4x^2 +2x+ 8# and bounded by the y-axis, the x axis and x=3 expressed as an integral?
- How do you use the properties of integrals to verify the inequality #intsinx/x# from pi/4 to pi/2 is less than or equal to #sqrt(2)/2#?
- What is the antiderivative of #sin(4t) #?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7