evaluate the definite integral f(t)=from 1 to t^2 ((sqrrt5+u^4)/u)du

use the fundamentaal theorem of calculus
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

(sqrt(5)+u^4)/u=sqrt(5)/u+u^3. When this integrated wrt u we get sqrt(5)ln(u)+u^4/4. Apply the limits:

sqrt(5)ln(t^2)+t^8/4-1/4. So f(t)=2sqrt(5)ln(t)+(t^8-1)/4.
by Top Rated User (1.1m points)

Related questions

1 answer
definite integral
asked May 2, 2013 in Calculus Answers by anonymous | 1.3k views
1 answer
f(x) = (integral (1/t^2-9)dt, 1 to x) dt
asked Jul 19, 2013 in Calculus Answers by definite integrals | 743 views
1 answer
integral 0 to 2 step x^2 is
asked Apr 16, 2013 in Calculus Answers by anonymous | 738 views
1 answer
how do you solve (x-1)(√3-x) on the integral 1 to 3
asked Jan 29, 2013 in Calculus Answers by anonymous | 540 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. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,551 questions
99,638 answers
2,417 comments
442,155 users