find the exact area bounded by the curve y=cos3x

find the exact area bounded by the curve y=cos3x , the x-axis and the lines x=0 and  x= pi/12
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

 ∫ydx is the integral for the area under a curve.

We have ∫cos(3x)dx | x∊[0,π/12].

Integral is ⅓sin(3x) for the given limits=⅓sin(π/4)=⅓(√2/2)=√2/6.

by Top Rated User (1.2m points)

Related questions

1 answer
area bounded by the curve 2y^2+2y-x-2=0 and the line x=2y?
asked Feb 20, 2013 in Calculus Answers by anonymous | 3.3k views
1 answer
Find the area of a region bounded by y= 2x-x^2, y= 2x-4
asked Jun 17, 2015 in Calculus Answers by anonymous | 733 views
1 answer
Find the area in sq units bounded by |3x| + |y| = 36
asked Nov 20, 2013 in Calculus Answers by ariuka Level 1 User (300 points) | 720 views
1 answer
find the area bounded by y=x^3,y=x
asked Jan 23, 2012 in Calculus Answers by anonymous | 874 views
1 answer
Find the area bounded by: y=0,y=4-X2, and y=4-2X
asked Dec 2, 2011 in Calculus Answers by anonymous | 1.2k views
3 answers
Find the area bounded by: y=0,y=2, and y=3X
asked Dec 2, 2011 in Calculus Answers by anonymous | 1.1k views
1 answer
Find the area bounded by: x=0,y=0 and y=3-2X
asked Dec 2, 2011 in Calculus Answers by anonymous | 917 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,253 users