What is area y=sqrt(x),y= 1/3 x,x=25 ?

The answer to area y=sqrt(x),y= 1/3 x,x=25 is 179/6

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area y=sqrt(x),y= 1/3 x,x=25

area

y = x, y = \frac{1}{3} x, x = 25

\frac{179}{6}

Decimal Notation

29.83333 \dots

Solution steps

Apply the area formula:

\int_{0}^{25} x - \frac{1}{3} x d x

Solve

\int_{0}^{25} x - \frac{1}{3} x d x : \frac{179}{6}

The area is:

= \frac{179}{6}

\int \frac{x ^{2} + 16}{2 x} d x

\int_{0}^{8} \frac{1}{( 10 - 2 x ) ^{\frac{1}{5}}} d x

\int_{0}^{\infty} e^{- x} d x

\int \frac{1}{1 - e ^{x}} d x

n \to \infty lim (ln (n))

What is area y=sqrt(x),y= 1/3 x,x=25 ?
The answer to area y=sqrt(x),y= 1/3 x,x=25 is 179/6