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How to use it?
Integral of d{x}:
Integral of cos(x)*exp(x)
Integral of sin(x)^2*cos(x)^4
Integral of 2e^(-2x)
Integral of (1-cosx)/(1+cosx)
Derivative of:
3*sqrt(x)
Limit of the function:
3*sqrt(x)
Identical expressions
three *sqrt(x)
3 multiply by square root of (x)
three multiply by square root of (x)
3*√(x)
3sqrt(x)
3sqrtx
3*sqrt(x)dx
Similar expressions
dx/(sqrt(x)+3sqrt(x))
arctgx/((x^2+2x)*3sqrt(x-1))
dx/(sqrt(3)*sqrt(x)+4)
1/(x^3*sqrt(x^2+1))
3sqrtx-(x+2)

Solving integrals/ 3*sqrt(x)

Integral of 3*sqrt(x) dx

The solution

You have entered [src]

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$$\int\limits_{0}^{1} 3 \sqrt{x}\, dx$$

Integral(3*sqrt(x), (x, 0, 1))

Detail solution

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

$\int 3 \sqrt{x}\, dx = 3 \int \sqrt{x}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int \sqrt{x}\, dx = \frac{2 x^{\frac{3}{2}}}{3}$
So, the result is: $2 x^{\frac{3}{2}}$
Add the constant of integration:

$2 x^{\frac{3}{2}}+ \mathrm{constant}$

The answer is:

$2 x^{\frac{3}{2}}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | 3*\/ x  dx = C + 2*x   
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$$\int 3 \sqrt{x}\, dx = C + 2 x^{\frac{3}{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$2$$

=

$$2$$

Numerical answer [src]

2.0

2.0

The graph

Integral of 3*sqrt(x) dx

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