Get the answer to "Solve the following integral ∫043x(4−x)dx=32 ∫04x(x−4)dx"

Phoebe

Answered question

2020-11-12

Solve the following integral

\int_{0}^{4} 3 x (4 - x) d x = 32

\int_{0}^{4} x (x - 4) d x

Answer & Explanation

wheezym

Skilled2020-11-13Added 103 answers

Step 1

\int_{0}^{4} 3 x (4 - x) d x = 32

We have to evaluate.

\int_{0}^{4} x (x - 4) d x

Step 2
We have,

\int_{0}^{4} 3 x (4 - x) d x = 32

...(1)
and

\int_{0}^{4} x (x - 4) d x =

?
Now,

\Rightarrow \int_{0}^{4} 3 x (4 - x) d x = 32

\Rightarrow 3 \int_{0}^{4} x (4 - x) d x = 32

\Rightarrow \int_{0}^{4} x (4 - x) d x = \frac{32}{3}

\Rightarrow \int_{0}^{4} x (- 1) (x - 4) d x = \frac{32}{3}

\Rightarrow - \int_{0}^{4} x (x - 4) d x = \frac{32}{3}

\Rightarrow \int_{0}^{4} x (x - 4) d x = - \frac{32}{3}

Hence,

\int_{0}^{4} x (x - 4) d x = - \frac{32}{3}

Jeffrey Jordon

Expert2021-11-05Added 2575 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?

Product

Company

Connect with us

Get Plainmath App

Google Play

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus

Cyprus reg.number: ΗΕ 419361

E-mail us: support@plainmath.net

Our Service is useful for:

Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.