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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
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Integral of x*sin2x
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Integral of exsinx
- Integral of ln(x)/(x^2)
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Identical expressions
- x^ two *(x+ one)^ zero , five
- x squared multiply by (x plus 1) to the power of 0,5
- x to the power of two multiply by (x plus one) to the power of zero , five
- x2*(x+1)0,5
- x2*x+10,5
- x²*(x+1)^0,5
- x to the power of 2*(x+1) to the power of 0,5
- x^2(x+1)^0,5
- x2(x+1)0,5
- x2x+10,5
- x^2x+1^0,5
- x^2*(x+1)^0,5dx
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Similar expressions
- x^2*(x-1)^0,5
Integral of x^2*(x+1)^0,5 dx
The solution
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[src]
3 / | | 2 _______ | x *\/ x + 1 dx | / 0
$$\int\limits_{0}^{3} x^{2} \sqrt{x + 1}\, dx$$
Integral(x^2*sqrt(x + 1), (x, 0, 3))
The answer (Indefinite)
[src]
/ | 5/2 3/2 7/2 | 2 _______ 4*(1 + x) 2*(1 + x) 2*(1 + x) | x *\/ x + 1 dx = C - ------------ + ------------ + ------------ | 5 3 7 /
$$\int x^{2} \sqrt{x + 1}\, dx = C + \frac{2 \left(x + 1\right)^{\frac{7}{2}}}{7} - \frac{4 \left(x + 1\right)^{\frac{5}{2}}}{5} + \frac{2 \left(x + 1\right)^{\frac{3}{2}}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.