Mister Exam

Other calculators

Solving integrals/ dt/((t+1)^4)

Integral of dt/((t+1)^4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     1       
 |  -------- dt
 |         4   
 |  (t + 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{1}{\left(t + 1\right)^{4}}\, dt$$ 
Integral(1/((t + 1)^4), (t, 0, 1))
The answer (Indefinite) [src] 
  /                                       
 |                                        
 |    1                        1          
 | -------- dt = C - ---------------------
 |        4                 3            2
 | (t + 1)           3 + 3*t  + 9*t + 9*t 
 |                                        
/
$$\int \frac{1}{\left(t + 1\right)^{4}}\, dt = C - \frac{1}{3 t^{3} + 9 t^{2} + 9 t + 3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
7/24
$$\frac{7}{24}$$ 
=
= 
7/24
$$\frac{7}{24}$$ 
7/24
Numerical answer [src] 
0.291666666666667
0.291666666666667

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

    © Mister Exam – Calculator