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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of (1+x)/x
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Integral of 1/5x
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Integral of (1+2x^2)/(x^2(1+x^2))
- How do you in partial fractions?:
- (1+2x^2)/(x^2(1+x^2))
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Identical expressions
- (one + two x^ two)/(x^ two (one +x^2))
- (1 plus 2x squared ) divide by (x squared (1 plus x squared ))
- (one plus two x to the power of two) divide by (x to the power of two (one plus x squared ))
- (1+2x2)/(x2(1+x2))
- 1+2x2/x21+x2
- (1+2x²)/(x²(1+x²))
- (1+2x to the power of 2)/(x to the power of 2(1+x to the power of 2))
- 1+2x^2/x^21+x^2
- (1+2x^2) divide by (x^2(1+x^2))
- (1+2x^2)/(x^2(1+x^2))dx
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Similar expressions
- (1-2x^2)/(x^2(1+x^2))
- (1+2x^2)/(x^2(1-x^2))
Integral of (1+2x^2)/(x^2(1+x^2)) dx
The solution
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[src]
1 / | | 2 | 1 + 2*x | ----------- dx | 2 / 2\ | x *\1 + x / | / 0
$$\int\limits_{0}^{1} \frac{2 x^{2} + 1}{x^{2} \left(x^{2} + 1\right)}\, dx$$
Integral((1 + 2*x^2)/((x^2*(1 + x^2))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | 1 + 2*x 1 | ----------- dx = C - - + atan(x) | 2 / 2\ x | x *\1 + x / | /
$$\int \frac{2 x^{2} + 1}{x^{2} \left(x^{2} + 1\right)}\, dx = C + \operatorname{atan}{\left(x \right)} - \frac{1}{x}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.