What is the integral from 4 to 6 of 2pi(y)(4/y) ?

The integral from 4 to 6 of 2pi(y)(4/y) is 16pi

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integral from 4 to 6 of 2pi(y)(4/y)

\int_{4}^{6} 2 π (y) (\frac{4}{y}) d y

16 π

Decimal Notation

50.26548 \dots

Solution steps

\int_{4}^{6} 2 π y \frac{4}{y} d y

2 π y \frac{4}{y} = 8 π

= \int_{4}^{6} 8 π d y

Integral of a constant:

\int a d x = a x

= [8 π y]_{4}^{6}

Compute the boundaries:

16 π

= 16 π

\frac{d}{d x} (x^{2} + 1 - x)

\int \frac{1}{24} x d x

x \to 3 lim (x + 2)

f (x) = x^{2} + 4 x

\frac{d}{d x} (- \frac{49}{( 1 + 7 x ) ^{2}})

What is the integral from 4 to 6 of 2pi(y)(4/y) ?
The integral from 4 to 6 of 2pi(y)(4/y) is 16pi