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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^x/x^2
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Integral of sin(x)^2*cos(x)^4
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Integral of x*ln(x+1)dx
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Integral of 1/(2-x)
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Identical expressions
- t*sin(t)^ three
- t multiply by sinus of (t) cubed
- t multiply by sinus of (t) to the power of three
- t*sin(t)3
- t*sint3
- t*sin(t)³
- t*sin(t) to the power of 3
- tsin(t)^3
- tsin(t)3
- tsint3
- tsint^3
Integral of t*sin(t)^3 dd
The solution
You have entered
[src]
pi -- 2 / | | 3 | t*sin (t) dt | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} t \sin^{3}{\left(t \right)}\, dt$$
Integral(t*sin(t)^3, (t, 0, pi/2))
The answer (Indefinite)
[src]
/ | 3 3 2 | 3 7*sin (t) 2*t*cos (t) 2*cos (t)*sin(t) 2 | t*sin (t) dt = C + --------- - ----------- + ---------------- - t*sin (t)*cos(t) | 9 3 3 /
$$\int t \sin^{3}{\left(t \right)}\, dt = C - t \sin^{2}{\left(t \right)} \cos{\left(t \right)} - \frac{2 t \cos^{3}{\left(t \right)}}{3} + \frac{7 \sin^{3}{\left(t \right)}}{9} + \frac{2 \sin{\left(t \right)} \cos^{2}{\left(t \right)}}{3}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.