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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}:
- Integral of sin(x)/(x^2-4x+5)
- Integral of ((3*2+x^2+(4x-16)dx))/((x^2-3x+2)^(1/2))
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Integral of 6t^2-4t
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Integral of dx/sqrt(1-16x^2)dx
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Identical expressions
- dx/sqrt(one -16x^ two)dx
- dx divide by square root of (1 minus 16x squared )dx
- dx divide by square root of (one minus 16x to the power of two)dx
- dx/√(1-16x^2)dx
- dx/sqrt(1-16x2)dx
- dx/sqrt1-16x2dx
- dx/sqrt(1-16x²)dx
- dx/sqrt(1-16x to the power of 2)dx
- dx/sqrt1-16x^2dx
- dx divide by sqrt(1-16x^2)dx
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Similar expressions
- dx/sqrt(1+16x^2)dx
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What you mean?
- dx/((sqrt(1 - 16*x^2)*dx))
- dx*dx/(sqrt(1 - 16*x^2))
- dx*dx/((sqrt(1 - 16*x)*2))
- dx*dx/((sqrt(1 - 16*x))^2)
- dx*dx/((sqrt(1 - 1*16)*x^2))
- dx*dx/(sqrt(1) - 16*x^2)
- dx*(1 - 16*x^2)*dx/(sqrt(x))
You entered:
dx/sqrt(1-16x^2)dx
What you mean?
Integral of dx/sqrt(1-16x^2)dx dx
The solution
You have entered
[src]
0 / | | 1 | 1*--------------*1 dx | ___________ | / 2 | \/ 1 - 16*x | / 1/4
$$\int\limits_{\frac{1}{4}}^{0} 1 \cdot \frac{1}{\sqrt{- 16 x^{2} + 1}} \cdot 1\, dx$$
Detail solution
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Now simplify:
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Add the constant of integration:
TrigSubstitutionRule(theta=_theta, func=sin(_theta)/4, rewritten=1/4, substep=ConstantRule(constant=1/4, context=1/4, symbol=_theta), restriction=(x > -1/4) & (x < 1/4), context=1*1/sqrt(1 - 16*x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | | 1 //asin(4*x) \ | 1*--------------*1 dx = C + |<--------- for And(x > -1/4, x < 1/4)| | ___________ \\ 4 / | / 2 | \/ 1 - 16*x | /
$${{\arcsin \left(4\,x\right)}\over{4}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.