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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sqrt(x)/x
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Integral of (-x)/(1+x^2)
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Integral of (x^2-1)e^x
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Integral of ln(x)*ln(x)
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Identical expressions
- pi((sqtrx+ two)-(two x+ one))^2
- Pi ((sqtrx plus 2) minus (2x plus 1)) squared
- Pi ((sqtrx plus two) minus (two x plus one)) squared
- pi((sqtrx+2)-(2x+1))2
- pisqtrx+2-2x+12
- pi((sqtrx+2)-(2x+1))²
- pi((sqtrx+2)-(2x+1)) to the power of 2
- pisqtrx+2-2x+1^2
- pi((sqtrx+2)-(2x+1))^2dx
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Similar expressions
- pi((sqtrx+2)+(2x+1))^2
- pi((sqtrx+2)-(2x-1))^2
- pi((sqtrx-2)-(2x+1))^2
Integral of pi((sqtrx+2)-(2x+1))^2 dx
The solution
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[src]
1 / | | 2 | / ___ \ | pi*\\/ x + 2 - (2*x + 1)/ dx | / 0
$$\int\limits_{0}^{1} \pi \left(\sqrt{x} - \left(2 x + 1\right) + 2\right)^{2}\, dx$$
Integral(pi*(sqrt(x) + 2 - (2*x + 1))^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 / 5/2 2 3 3/2\ | / ___ \ | 8*x 3*x 4*x 4*x | | pi*\\/ x + 2 - (2*x + 1)/ dx = C + pi*|x - ------ - ---- + ---- + ------| | \ 5 2 3 3 / /
$$\int \pi \left(\sqrt{x} - \left(2 x + 1\right) + 2\right)^{2}\, dx = C + \pi \left(- \frac{8 x^{\frac{5}{2}}}{5} + \frac{4 x^{\frac{3}{2}}}{3} + \frac{4 x^{3}}{3} - \frac{3 x^{2}}{2} + x\right)$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.