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Integral of d{x}:
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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
Similar expressions
dx/sqrt(1+16x^2)dx
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?

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))

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

$$\int\limits_{\frac{1}{4}}^{0} 1 \cdot \frac{1}{\sqrt{- 16 x^{2} + 1}} \cdot 1\, dx$$

Simplify

Detail solution

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)

Now simplify:

$\begin{cases} \frac{\operatorname{asin}{\left(4 x \right)}}{4} & \text{for}\: x > - \frac{1}{4} \wedge x < \frac{1}{4} \\\text{NaN} & \text{otherwise} \end{cases}$
Add the constant of integration:

$\begin{cases} \frac{\operatorname{asin}{\left(4 x \right)}}{4} & \text{for}\: x > - \frac{1}{4} \wedge x < \frac{1}{4} \\\text{NaN} & \text{otherwise} \end{cases}+ \mathrm{constant}$

The answer is:

$\begin{cases} \frac{\operatorname{asin}{\left(4 x \right)}}{4} & \text{for}\: x > - \frac{1}{4} \wedge x < \frac{1}{4} \\\text{NaN} & \text{otherwise} \end{cases}+ \mathrm{constant}$

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                                                      
 |                                                                     
/

$${{\arcsin \left(4\,x\right)}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-pi 
----
 8

$$-{{\pi}\over{8}}$$

-pi 
----
 8

$$- \frac{\pi}{8}$$

Simplify

Numerical answer [src]

-0.392699081604947

-0.392699081604947

The graph

Use the examples entering the upper and lower limits of integration.

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Identical expressions

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What you mean?

Integral of dx/sqrt(1-16x^2)dx dx

Limits of integration:

The graph:

Piecewise:

The solution