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How to use it?
- Integral of d{x}:
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Integral of x^5*dx
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Integral of xsin(x+2)
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Integral of 1/(2+cosx)^2
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Integral of (1+x^4)^(1/2)
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Identical expressions
- x^ three sin^3(x^ four)
- x cubed sinus of cubed (x to the power of 4)
- x to the power of three sinus of cubed (x to the power of four)
- x3sin3(x4)
- x3sin3x4
- x³sin³(x⁴)
- x to the power of 3sin to the power of 3(x to the power of 4)
- x^3sin^3x^4
- x^3sin^3(x^4)dx
Integral of x^3sin^3(x^4) dx
The solution
You have entered
[src]
1 / | | 3 3/ 4\ | x *sin \x / dx | / 0
$$\int\limits_{0}^{1} x^{3} \sin^{3}{\left(x^{4} \right)}\, dx$$
Integral(x^3*sin(x^4)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3/ 4\ 2/ 4\ / 4\ | 3 3/ 4\ cos \x / sin \x /*cos\x / | x *sin \x / dx = C - -------- - ---------------- | 6 4 /
$$\int x^{3} \sin^{3}{\left(x^{4} \right)}\, dx = C - \frac{\sin^{2}{\left(x^{4} \right)} \cos{\left(x^{4} \right)}}{4} - \frac{\cos^{3}{\left(x^{4} \right)}}{6}$$
The graph
The answer
[src]
3 2 1 cos (1) sin (1)*cos(1) - - ------- - -------------- 6 6 4
$$- \frac{\sin^{2}{\left(1 \right)} \cos{\left(1 \right)}}{4} - \frac{\cos^{3}{\left(1 \right)}}{6} + \frac{1}{6}$$
=
=
3 2 1 cos (1) sin (1)*cos(1) - - ------- - -------------- 6 6 4
$$- \frac{\sin^{2}{\left(1 \right)} \cos{\left(1 \right)}}{4} - \frac{\cos^{3}{\left(1 \right)}}{6} + \frac{1}{6}$$
1/6 - cos(1)^3/6 - sin(1)^2*cos(1)/4
Use the examples entering the upper and lower limits of integration.