# How do you evaluate the definite integral #int (2x^2+4x+3)/(x^2+x+1)# from #[0,1]#?

See the answer below:

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

To evaluate the definite integral (\int_{0}^{1} \frac{2x^2+4x+3}{x^2+x+1} , dx), you can use the method of partial fraction decomposition. Once decomposed, integrate each term separately, then substitute the upper limit of integration and subtract the result from the substitution of the lower limit. This process yields the value of the definite integral.

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

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you use the second fundamental theorem of Calculus to find the derivative of given #int (t^2+1)^20 dt# from #[1,x]#?
- What is the net area between #f(x) = 1/sqrt(x+1) # and the x-axis over #x in [1, 4 ]#?
- How do I evaluate #int_0^5(2 e^x + 5cos(x)) dx#?
- What is the Integral of # (1+tanx)^5 * (sec^2(x)) dx #?
- How do you evaluate the definite integral by the limit definition given #int (a-absx)dx# from [-a,a]?

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