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- Improper integral
- Double Integral
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- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of cosx
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Integral of 1/(2+x^2)
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Identical expressions
- (x^ five +x^ four + four x^ three +4x^ two +4x+4)/(x^ two + two)^ three
- (x to the power of 5 plus x to the power of 4 plus 4x cubed plus 4x squared plus 4x plus 4) divide by (x squared plus 2) cubed
- (x to the power of five plus x to the power of four plus four x to the power of three plus 4x to the power of two plus 4x plus 4) divide by (x to the power of two plus two) to the power of three
- (x5+x4+4x3+4x2+4x+4)/(x2+2)3
- x5+x4+4x3+4x2+4x+4/x2+23
- (x⁵+x⁴+4x³+4x²+4x+4)/(x²+2)³
- (x to the power of 5+x to the power of 4+4x to the power of 3+4x to the power of 2+4x+4)/(x to the power of 2+2) to the power of 3
- x^5+x^4+4x^3+4x^2+4x+4/x^2+2^3
- (x^5+x^4+4x^3+4x^2+4x+4) divide by (x^2+2)^3
- (x^5+x^4+4x^3+4x^2+4x+4)/(x^2+2)^3dx
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Similar expressions
- (x^5-x^4+4x^3+4x^2+4x+4)/(x^2+2)^3
- (x^5+x^4+4x^3+4x^2+4x+4)/(x^2-2)^3
- (x^5+x^4-4x^3+4x^2+4x+4)/(x^2+2)^3
- (x^5+x^4+4x^3+4x^2+4x-4)/(x^2+2)^3
- (x^5+x^4+4x^3+4x^2-4x+4)/(x^2+2)^3
- (x^5+x^4+4x^3-4x^2+4x+4)/(x^2+2)^3
Integral of (x^5+x^4+4x^3+4x^2+4x+4)/(x^2+2)^3 dx
The solution
You have entered
[src]
1 / | | 5 4 3 2 | x + x + 4*x + 4*x + 4*x + 4 | ------------------------------- dx | 3 | / 2 \ | \x + 2/ | / 0
$$\int\limits_{0}^{1} \frac{\left(4 x + \left(4 x^{2} + \left(4 x^{3} + \left(x^{5} + x^{4}\right)\right)\right)\right) + 4}{\left(x^{2} + 2\right)^{3}}\, dx$$
Integral((x^5 + x^4 + 4*x^3 + 4*x^2 + 4*x + 4)/(x^2 + 2)^3, (x, 0, 1))
The graph
The answer
[src]
/ ___\
___ |\/ 2 |
\/ 2 *atan|-----|
log(3) log(2) \ 2 /
------ - ------ + -----------------
2 2 2
$$- \frac{\log{\left(2 \right)}}{2} + \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}}{2} + \frac{\log{\left(3 \right)}}{2}$$
=
=
/ ___\
___ |\/ 2 |
\/ 2 *atan|-----|
log(3) log(2) \ 2 /
------ - ------ + -----------------
2 2 2
$$- \frac{\log{\left(2 \right)}}{2} + \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}}{2} + \frac{\log{\left(3 \right)}}{2}$$
log(3)/2 - log(2)/2 + sqrt(2)*atan(sqrt(2)/2)/2
The graph
Use the examples entering the upper and lower limits of integration.