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sinh(x)*e^(x*(-3))/4

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  • Integral of d{x}:
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  • Integral of x^2*e^(x^3)*dx Integral of x^2*e^(x^3)*dx
  • Integral of 1/sin²x Integral of 1/sin²x

  • Identical expressions

  • sinh(x)*e^(x*(- three))/ four
  • hyperbolic sinus of e of (x) multiply by e to the power of (x multiply by ( minus 3)) divide by 4
  • hyperbolic sinus of e of (x) multiply by e to the power of (x multiply by ( minus three)) divide by four
  • sinh(x)*e(x*(-3))/4
  • sinhx*ex*-3/4
  • sinh(x)e^(x(-3))/4
  • sinh(x)e(x(-3))/4
  • sinhxex-3/4
  • sinhxe^x-3/4
  • sinh(x)*e^(x*(-3)) divide by 4
  • sinh(x)*e^(x*(-3))/4dx

  • Similar expressions

  • sinh(x)*e^(x*(3))/4
Solving integrals/ sinh(x)*e^(x*(-3))/4

Integral of sinh(x)*e^(x*(-3))/4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |           x*-3   
 |  sinh(x)*e       
 |  ------------- dx
 |        4         
 |                  
/                   
0
$$\int\limits_{0}^{1} \frac{e^{x \left(-3\right)} \sinh{\left(x \right)}}{4}\, dx$$ 
Integral(sinh(x)*E^(x*(-3))/4, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                                      
 |                                                       
 |          x*-3             -3*x                    -3*x
 | sinh(x)*e              3*e    *sinh(x)   cosh(x)*e    
 | ------------- dx = C - --------------- - -------------
 |       4                       32               32     
 |                                                       
/
$${{{{e^ {- 4\,x }}\over{4}}-{{e^ {- 2\,x }}\over{2}}}\over{8}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        -3                    -3
1    3*e  *sinh(1)   cosh(1)*e  
-- - ------------- - -----------
32         32             32
$${{{{1}\over{8}}-{{e^ {- 4 }\,\left(2\,e^2-1\right)}\over{8}}}\over{ 4}}$$ 
=
= 
        -3                    -3
1    3*e  *sinh(1)   cosh(1)*e  
-- - ------------- - -----------
32         32             32
$$- \frac{3 \sinh{\left(1 \right)}}{32 e^{3}} - \frac{\cosh{\left(1 \right)}}{32 e^{3}} + \frac{1}{32}$$
Упростить
Numerical answer [src] 
0.0233639085129847
0.0233639085129847
The graph
Integral of sinh(x)*e^(x*(-3))/4 dx

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

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