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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 1/1+e^x
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Integral of x^3/sqrt(1+x^2)
- Integral of (-log(x))/x^2
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Integral of dx/tan5x
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Identical expressions
- sin^ four (one -2x)
- sinus of to the power of 4(1 minus 2x)
- sinus of to the power of four (one minus 2x)
- sin4(1-2x)
- sin41-2x
- sin⁴(1-2x)
- sin^41-2x
- sin^4(1-2x)dx
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Similar expressions
- sin^4(1+2x)
Integral of sin^4(1-2x) dx
The solution
You have entered
[src]
1 / | | 4 | sin (1 - 2*x) dx | / 0
$$\int\limits_{0}^{1} \sin^{4}{\left(1 - 2 x \right)}\, dx$$
Integral(sin(1 - 2*x)^4, (x, 0, 1))
The graph
The answer
[src]
4 4 3 3 2 2
3*cos (1) 3*sin (1) 5*sin (1)*cos(1) 3*cos (1)*sin(1) 3*cos (1)*sin (1)
--------- + --------- - ---------------- - ---------------- + -----------------
8 8 8 8 4
$$- \frac{5 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{8} - \frac{3 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{8} + \frac{3 \cos^{4}{\left(1 \right)}}{8} + \frac{3 \sin^{2}{\left(1 \right)} \cos^{2}{\left(1 \right)}}{4} + \frac{3 \sin^{4}{\left(1 \right)}}{8}$$
=
=
4 4 3 3 2 2
3*cos (1) 3*sin (1) 5*sin (1)*cos(1) 3*cos (1)*sin(1) 3*cos (1)*sin (1)
--------- + --------- - ---------------- - ---------------- + -----------------
8 8 8 8 4
$$- \frac{5 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{8} - \frac{3 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{8} + \frac{3 \cos^{4}{\left(1 \right)}}{8} + \frac{3 \sin^{2}{\left(1 \right)} \cos^{2}{\left(1 \right)}}{4} + \frac{3 \sin^{4}{\left(1 \right)}}{8}$$
3*cos(1)^4/8 + 3*sin(1)^4/8 - 5*sin(1)^3*cos(1)/8 - 3*cos(1)^3*sin(1)/8 + 3*cos(1)^2*sin(1)^2/4
The graph
Use the examples entering the upper and lower limits of integration.