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Popular Calculus >

area y^2=4x,x=1,x=4

Solution

area

y^{2} = 4 x, x = 1, x = 4

Solution

\frac{56}{3}

+1

Decimal

18.66666 \dots

Solution steps

Isolate

y

for

y^{2} = 4 x : y = 2 x, y = - 2 x

Apply the area formula:

\int_{1}^{4} 4 x d x

Solve

\int_{1}^{4} 4 x d x : \frac{56}{3}

The area is:

= \frac{56}{3}

Graph

Popular Examples

limit as x approaches 0-of 2+3/x

x \to 0 - lim (2 + \frac{3}{x})

(dy)/(dt)-4y=10sin(2t),y(0)=0

\frac{d y}{d t} - 4 y = 10 sin (2 t), y (0) = 0

derivative of e^{arccsc(x})

\frac{d}{d x} (e^{arccsc (x)})

f (x) = 4 x

(\partial)/(\partial x)(-15(3x+y)^4)

\frac{\partial}{\partial x} (- 15 (3 x + y)^{4})

Frequently Asked Questions (FAQ)

What is area y^2=4x,x=1,x=4 ?
The answer to area y^2=4x,x=1,x=4 is 56/3