solve the inegral using trignometric ticheque of integration.
in Trigonometry 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

Let u=sin(5.75x), du=5.75cos(5.75x)dx, and the integral becomes:

(1/5.75)∫(sin(5.75x))^8.25cos⁴(5.75x)du.

We need the integrand in terms of u. cos⁴(5.75x)=(1-sin²(5.75x))²=1-2sin²(5.75x)+sin⁴(5.75x)=1-2u²+u⁴.

Now we have (4/23)∫u^8.25(1-2u²+u⁴)du=(4/23)∫(u^8.25-2u^10.25+u^12.25)du.

Integral is (4/23)(u^9.25/9.25-2u^11.25/11.25+u^13.25/13.25)+C.

Substitute u=sin(5.75x) to get the answer in terms of x.

 

by Top Rated User (640k points)

Related questions

0 answers
asked Sep 7, 2013 in Calculus Answers by joseph jemba | 100 views
0 answers
asked Apr 29, 2013 in Calculus Answers by anonymous | 83 views
0 answers
0 answers
asked Mar 4, 2013 in Calculus Answers by anonymous | 75 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!
82,854 questions
87,445 answers
1,964 comments
3,926 users