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Integral of 1/(2+cosx)^2
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Integral of (x+2)e^(-x)
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Identical expressions
- xsin^ two (x)x
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- x sinus of to the power of two (x)x
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- xsin2xx
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- xsin^2xx
- xsin^2(x)xdx
Integral of xsin^2(x)x dx
The solution
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[src]
1 / | | 2 | x*sin (x)*x dx | / 0
$$\int\limits_{0}^{1} x x \sin^{2}{\left(x \right)}\, dx$$
Integral((x*sin(x)^2)*x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 2 3 2 3 2 2 | 2 x*cos (x) x*sin (x) cos(x)*sin(x) x *cos (x) x *sin (x) x *cos(x)*sin(x) | x*sin (x)*x dx = C - --------- + --------- + ------------- + ---------- + ---------- - ---------------- | 4 4 4 6 6 2 /
$$\int x x \sin^{2}{\left(x \right)}\, dx = C + \frac{x^{3} \sin^{2}{\left(x \right)}}{6} + \frac{x^{3} \cos^{2}{\left(x \right)}}{6} - \frac{x^{2} \sin{\left(x \right)} \cos{\left(x \right)}}{2} + \frac{x \sin^{2}{\left(x \right)}}{4} - \frac{x \cos^{2}{\left(x \right)}}{4} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{4}$$
The graph
The answer
[src]
2 2
cos (1) 5*sin (1) cos(1)*sin(1)
- ------- + --------- - -------------
12 12 4
$$- \frac{\sin{\left(1 \right)} \cos{\left(1 \right)}}{4} - \frac{\cos^{2}{\left(1 \right)}}{12} + \frac{5 \sin^{2}{\left(1 \right)}}{12}$$
=
=
2 2
cos (1) 5*sin (1) cos(1)*sin(1)
- ------- + --------- - -------------
12 12 4
$$- \frac{\sin{\left(1 \right)} \cos{\left(1 \right)}}{4} - \frac{\cos^{2}{\left(1 \right)}}{12} + \frac{5 \sin^{2}{\left(1 \right)}}{12}$$
-cos(1)^2/12 + 5*sin(1)^2/12 - cos(1)*sin(1)/4
The graph
Use the examples entering the upper and lower limits of integration.