What is the integral of 5sqrt(5x) ?

The integral of 5sqrt(5x) is (10sqrt(5))/3 x^{3/2}+C

Popular >

integral of 5sqrt(5x)

\int 5 5 x d x

\frac{10 5}{3} x^{\frac{3}{2}} + C

Solution steps

\int 5 5 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int 5 x d x

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 5 \cdot \int 5 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 55 \cdot \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= 55 \frac{2}{3} x^{\frac{3}{2}}

Simplify

55 \frac{2}{3} x^{\frac{3}{2}} : \frac{10 5}{3} x^{\frac{3}{2}}

= \frac{10 5}{3} x^{\frac{3}{2}}

Add a constant to the solution

= \frac{10 5}{3} x^{\frac{3}{2}} + C

\frac{\partial}{\partial x} (sin (x) - 3 cos (y))

\frac{\partial}{\partial x} (\frac{sin ( t )}{t})

- 0.025 x^{2} + 9 x

\int e^{c o s (x)} \cdot sin (x) d x

x \to - 1 lim (x - \frac{1}{ln ∣ x ∣})

What is the integral of 5sqrt(5x) ?
The integral of 5sqrt(5x) is (10sqrt(5))/3 x^{3/2}+C