Evaluate the integral by interpreting it in terms of areas. In various other words, draw a snapshot of the area the integral represents, and also discover the location making use of high school geometry.

You are watching: Evaluate the integral by interpreting it in terms of areas.

∫9 to 0 of |9x−8|dx=


*

Giulia

If you graph this in Desmos or on a graphing calculator you will certainly watch the crucial points.

Touches the x axis when 9x - 8 = 0, ie x = 8/9

When x = 0, y = 8.

So you have the right to split the integral into 2 areas. From x = 0 to x = 8/9, will be the location of a appropriate triangle

base 8/9, elevation 8.

From x = 8/9 to x = 9, will certainly be the location of a right triangle. Base ( 9 - 8/9). When x = 9, y = 73 so height will be 73.

Find the areas of these two ideal triangles and also add together to acquire your answer.

Mike


Ask a question for complimentary

Get a totally free answer to a quick problem. Most inquiries answered within 4 hours.


Find an Online Tutor Now

Choose an professional and accomplish online. No packperiods or subscriptions, pay just for the time you need.


¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊
Math Algebra 1 Physics Precalculus Trigonomeattempt Algebra Pre Calculus Limits Functions Math Aid ... Derivative Ap Calc Ap Calculus Integral Calculus Calc Integration Derivatives Calculus 3 Calculus 2 Calculus 1

RELATED QUESTIONS

CAN I SUBMIT A MATH EQUATION I'M HAVING PROBLEMS WITH?

Answers · 2

If i have actually rational feature and it has a numerator that deserve to be factored and the denominator is already factored out would I simplify by factoring the numerator?

Answers · 5

exactly how carry out i discover where a duty is discontinuous if the bottom component of the attribute has been factored out?

Answers · 2

uncover the limit as it approaches -3 in the equation (6x+9)/x^4+6x^3+9x^2

Answers · 8

prove enhancement create for coshx

Answers · 4

RECOMMENDED TUTORS


*

Bill F.

5.0 (2,598)
*

Stephanie S.

5.0 (497)
*

Christian S.

5.0 (1,699)
See more tutors

discover an online tutor


related lessons


Download our totally free app

A attach to the application was sent out to your phone.

See more: Why Does Molten Sodium Chloride Conduct Electricity, Electrochemistry


Please administer a valid phone number.
Google Play App Store
Get to recognize us
Discover through us
Work via us
Downfill our complimentary application
Google Play App Store
Let’s keep in touch
Need more help?

Find Out even more around how it works


Best in company since 2005
*
*

Tutors by Subject
Tutors by Location
Sitemap Terms of Use Privacy Policy
© 2005 - 2021 soimg.org, Inc, a division of IXL Learning - All Rights Reoffered |
*