Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Find the area bounded by the curve y = {x} between x = 0 and x

Question

Find the area bounded by the curve $y = sin x$ between $x = 0$ and $x = 2 π$

Views: 834 students

Found 4 tutors discussing this question

Owen Discussed

Find the area bounded by the curve

y = sin x

between

x = 0

and

x = 2 π

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

The graph of

y = sin x

can be drawn as shown in the diagram.

∴

Required area

= A re a O A BO + A re a BC D B

= \int_{0}^{π} sin x d x + ∣ ∣ \int_{π}^{2 π} sin x d x ∣ ∣

= [- cos x]_{0}^{π} + ∣ ∣ [- cos x]_{π}^{2 π} ∣ ∣

= [- cos π + cos 0] + ∣ - cos 2 π + cos π ∣

= 1 + 1 + ∣ (- 1 - 1) ∣

= 2 + ∣ - 2∣

= 2 + 2 = 4

sq. units

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Find the area bounded by the curve $y = sin x$ between $x = 0$ and $x = 2 π$
Answer Type	Text solution:1
Upvotes	150