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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 2*x
- Integral of √(x^4-2x^3+x^2)
- Integral of sin(x)/cos^2x+5cos(x)+6
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Integral of -sin(t)*sin^3(t)
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Identical expressions
- -sin(t)*sin^ three (t)
- minus sinus of (t) multiply by sinus of cubed (t)
- minus sinus of (t) multiply by sinus of to the power of three (t)
- -sin(t)*sin3(t)
- -sint*sin3t
- -sin(t)*sin³(t)
- -sin(t)*sin to the power of 3(t)
- -sin(t)sin^3(t)
- -sin(t)sin3(t)
- -sintsin3t
- -sintsin^3t
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Similar expressions
- sin(t)*sin^3(t)
Integral of -sin(t)*sin^3(t) dt
The solution
You have entered
[src]
pi / | | 3 | -sin(t)*sin (t) dt | / 0
$$\int\limits_{0}^{\pi} - \sin{\left(t \right)} \sin^{3}{\left(t \right)}\, dt$$
The answer (Indefinite)
[src]
/ | 4 4 3 3 2 2 | 3 3*t*cos (t) 3*t*sin (t) 3*cos (t)*sin(t) 5*sin (t)*cos(t) 3*t*cos (t)*sin (t) | -sin(t)*sin (t) dt = C - ----------- - ----------- + ---------------- + ---------------- - ------------------- | 8 8 8 8 4 /
$$-{{{{{{\sin \left(4\,t\right)}\over{2}}+2\,t}\over{8}}-{{\sin
\left(2\,t\right)}\over{2}}+{{t}\over{2}}}\over{2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.