Mister Exam
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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 2/x^4
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Integral of (1-x^2)/(1+x^2)
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Integral of 1/(1+4x^2)
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Integral of x*dx/(x^2+1)
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Identical expressions
- sqrt(sin^2x)cos^2x
- square root of ( sinus of squared x) co sinus of e of squared x
- √(sin^2x)cos^2x
- sqrt(sin2x)cos2x
- sqrtsin2xcos2x
- sqrt(sin²x)cos²x
- sqrt(sin to the power of 2x)cos to the power of 2x
- sqrtsin^2xcos^2x
- sqrt(sin^2x)cos^2xdx
Integral of sqrt(sin^2x)cos^2x dx
The solution
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1 / | | _________ | / 2 2 | \/ sin (x) *cos (x) dx | / 0
$$\int\limits_{0}^{1} \sqrt{\sin^{2}{\left(x \right)}} \cos^{2}{\left(x \right)}\, dx$$
Integral(sqrt(sin(x)^2)*cos(x)^2, (x, 0, 1))
The answer (Indefinite)
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/ | _________ | _________ / 2 3 | / 2 2 \/ sin (x) *cos (x) | \/ sin (x) *cos (x) dx = C - -------------------- | 3*sin(x) /
$$\int \sqrt{\sin^{2}{\left(x \right)}} \cos^{2}{\left(x \right)}\, dx = C - \frac{\sqrt{\sin^{2}{\left(x \right)}} \cos^{3}{\left(x \right)}}{3 \sin{\left(x \right)}}$$
The graph
The answer
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3 1 cos (1) - - ------- 3 3
$$\frac{1}{3} - \frac{\cos^{3}{\left(1 \right)}}{3}$$
=
=
3 1 cos (1) - - ------- 3 3
$$\frac{1}{3} - \frac{\cos^{3}{\left(1 \right)}}{3}$$
1/3 - cos(1)^3/3
The graph
Use the examples entering the upper and lower limits of integration.