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- Integral of d{x}:
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Integral of e^x/x^2
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Integral of x*dx/(x^2+1)
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Integral of z
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Integral of x*2^x
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Identical expressions
- sin^ six (4x)
- sinus of to the power of 6(4x)
- sinus of to the power of six (4x)
- sin6(4x)
- sin64x
- sin⁶(4x)
- sin^64x
- sin^6(4x)dx
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Similar expressions
- dx/sin^64x
Integral of sin^6(4x) dx
The solution
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[src]
1 / | | 6 | sin (4*x) dx | / 0
$$\int\limits_{0}^{1} \sin^{6}{\left(4 x \right)}\, dx$$
Integral(sin(4*x)^6, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3 | 6 sin(8*x) sin (8*x) 3*sin(16*x) 5*x | sin (4*x) dx = C - -------- + --------- + ----------- + --- | 16 192 256 16 /
$$\int \sin^{6}{\left(4 x \right)}\, dx = C + \frac{5 x}{16} + \frac{\sin^{3}{\left(8 x \right)}}{192} - \frac{\sin{\left(8 x \right)}}{16} + \frac{3 \sin{\left(16 x \right)}}{256}$$
The graph
The answer
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3 5 5 5*cos(4)*sin(4) 5*sin (4)*cos(4) sin (4)*cos(4) -- - --------------- - ---------------- - -------------- 16 64 96 24
$$- \frac{5 \sin{\left(4 \right)} \cos{\left(4 \right)}}{64} - \frac{5 \sin^{3}{\left(4 \right)} \cos{\left(4 \right)}}{96} - \frac{\sin^{5}{\left(4 \right)} \cos{\left(4 \right)}}{24} + \frac{5}{16}$$
=
=
3 5 5 5*cos(4)*sin(4) 5*sin (4)*cos(4) sin (4)*cos(4) -- - --------------- - ---------------- - -------------- 16 64 96 24
$$- \frac{5 \sin{\left(4 \right)} \cos{\left(4 \right)}}{64} - \frac{5 \sin^{3}{\left(4 \right)} \cos{\left(4 \right)}}{96} - \frac{\sin^{5}{\left(4 \right)} \cos{\left(4 \right)}}{24} + \frac{5}{16}$$
5/16 - 5*cos(4)*sin(4)/64 - 5*sin(4)^3*cos(4)/96 - sin(4)^5*cos(4)/24
The graph
Use the examples entering the upper and lower limits of integration.