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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 dx/(9*x^2-1)
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Integral of -cos(2x)
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Integral of dx/(5-2*x)
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Identical expressions
- (one -x^ two)sqrtx- three
- (1 minus x squared ) square root of x minus 3
- (one minus x to the power of two) square root of x minus three
- (1-x^2)√x-3
- (1-x2)sqrtx-3
- 1-x2sqrtx-3
- (1-x²)sqrtx-3
- (1-x to the power of 2)sqrtx-3
- 1-x^2sqrtx-3
- (1-x^2)sqrtx-3dx
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Similar expressions
- (1-x^2)sqrtx+3
- (1+x^2)sqrtx-3
Integral of (1-x^2)sqrtx-3 dx
The solution
You have entered
[src]
1/2 / | | // 2\ ___ \ | \\1 - x /*\/ x - 3/ dx | / -1/2
$$\int\limits_{- \frac{1}{2}}^{\frac{1}{2}} \left(\sqrt{x} \left(- x^{2} + 1\right) - 3\right)\, dx$$
The answer (Indefinite)
[src]
/ | 7/2 3/2 | // 2\ ___ \ 2*x 2*x | \\1 - x /*\/ x - 3/ dx = C - 3*x - ------ + ------ | 7 3 /
$$-{{6\,x^{{{7}\over{2}}}-14\,x^{{{3}\over{2}}}}\over{21}}-3\,x$$
The graph
The answer
[src]
___ ___
25*\/ 2 25*I*\/ 2
-3 + -------- + ----------
168 168
$${{25\,\sqrt{2}\,i+25\,\sqrt{2}-504}\over{168}}$$
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=
___ ___
25*\/ 2 25*I*\/ 2
-3 + -------- + ----------
168 168
$$-3 + \frac{25 \sqrt{2}}{168} + \frac{25 \sqrt{2} i}{168}$$
Numerical answer
[src]
(-2.78983417343555 + 0.21016582656445j)
(-2.78983417343555 + 0.21016582656445j)
The graph
Use the examples entering the upper and lower limits of integration.