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Integral of d{x}:
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Integral of (x^2)sinx
Integral of tan(x*d)^3*tan(x)
Integral of sqrt(1+x^2)/x^4
Identical expressions
ninety-eight *y^ three
98 multiply by y cubed
ninety minus eight multiply by y to the power of three
98*y3
98*y³
98*y to the power of 3
98y^3
98y3

Solving integrals/ 98*y^3

Integral of 98*y^3 dx

The solution

You have entered [src]

  1         
  /         
 |          
 |      3   
 |  98*y  dy
 |          
/           
0

$$\int\limits_{0}^{1} 98 y^{3}\, dy$$

Integral(98*y^3, (y, 0, 1))

Detail solution

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

$\int 98 y^{3}\, dy = 98 \int y^{3}\, dy$
1. The integral of $y^{n}$ is $\frac{y^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int y^{3}\, dy = \frac{y^{4}}{4}$
So, the result is: $\frac{49 y^{4}}{2}$
Add the constant of integration:

$\frac{49 y^{4}}{2}+ \mathrm{constant}$

The answer is:

$\frac{49 y^{4}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                    4
 |     3          49*y 
 | 98*y  dy = C + -----
 |                  2  
/

$$\int 98 y^{3}\, dy = C + \frac{49 y^{4}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

49/2

$$\frac{49}{2}$$

=

49/2

$$\frac{49}{2}$$

49/2

Numerical answer [src]

24.5

24.5

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