158k views
1 vote
Find the following integrals. need help plssss

Find the following integrals. need help plssss-example-1
User Oronde
by
6.8k points

1 Answer

6 votes

Answer:

1) -15/4

2) -15/2

Explanation:

1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.

So the integral can be written as

Integral( 1/4 f(u) , u=0 to u=16)

We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.

2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.

So the integral becomes

Integral( 1/2 f(u) , u=0 to u=16).

We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.

User Alephx
by
6.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.