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Integral of d{x}:
Integral of x*2^(-x)
Integral of ex^2
Integral of x^5/(x^2+1)
Integral of sin(x²)
Identical expressions
(x+ five)/(sqrt(three - six *x-x^ two))
(x plus 5) divide by ( square root of (3 minus 6 multiply by x minus x squared ))
(x plus five) divide by ( square root of (three minus six multiply by x minus x to the power of two))
(x+5)/(√(3-6*x-x^2))
(x+5)/(sqrt(3-6*x-x2))
x+5/sqrt3-6*x-x2
(x+5)/(sqrt(3-6*x-x²))
(x+5)/(sqrt(3-6*x-x to the power of 2))
(x+5)/(sqrt(3-6x-x^2))
(x+5)/(sqrt(3-6x-x2))
x+5/sqrt3-6x-x2
x+5/sqrt3-6x-x^2
(x+5) divide by (sqrt(3-6*x-x^2))
(x+5)/(sqrt(3-6*x-x^2))dx
Similar expressions
(x+5)/(sqrt(3-6*x+x^2))
(x+5)/(sqrt(3+6*x-x^2))
(x-5)/(sqrt(3-6*x-x^2))

Solving integrals/ (x+5)/(sqrt(3-6*x-x^2))

Integral of (x+5)/(sqrt(3-6*x-x^2)) dx

The solution

You have entered [src]

  1                     
  /                     
 |                      
 |        x + 5         
 |  ----------------- dx
 |     ______________   
 |    /            2    
 |  \/  3 - 6*x - x     
 |                      
/                       
0

$$\int\limits_{0}^{1} \frac{x + 5}{\sqrt{- x^{2} - 6 x + 3}}\, dx$$

Integral((x + 5)/(sqrt(3 - 6*x - x^2)), (x, 0, 1))

The answer (Indefinite) [src]

  /                                                                    
 |                               ______________         /  ___        \
 |       x + 5                  /      2                |\/ 3 *(3 + x)|
 | ----------------- dx = C - \/  3 - x  - 6*x  + 2*asin|-------------|
 |    ______________                                    \      6      /
 |   /            2                                                    
 | \/  3 - 6*x - x                                                     
 |                                                                     
/

$$-\sqrt{-x^2-6\,x+3}-2\,\arcsin \left({{-2\,x-6}\over{4\,\sqrt{3}}} \right)$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

                    /    ___\       
  ___               |2*\/ 3 |   2*pi
\/ 3  - 2*I + 2*asin|-------| - ----
                    \   3   /    3

$${{6\,\arcsin \left({{2}\over{\sqrt{3}}}\right)-2\,\pi-6\,i+3^{{{3 }\over{2}}}}\over{3}}$$

                    /    ___\       
  ___               |2*\/ 3 |   2*pi
\/ 3  - 2*I + 2*asin|-------| - ----
                    \   3   /    3

$$- \frac{2 \pi}{3} + \sqrt{3} - 2 i + 2 \operatorname{asin}{\left(\frac{2 \sqrt{3}}{3} \right)}$$

Упростить

Numerical answer [src]

(3.28644869428776 - 2.78515277599676j)

(3.28644869428776 - 2.78515277599676j)

The graph

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

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Identical expressions

Similar expressions

Integral of (x+5)/(sqrt(3-6*x-x^2)) dx

Limits of integration:

The graph:

Piecewise:

The solution