Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,873 users

Suppose G(x) is an antiderivative of (cosx/e^x) and G(-2) = -1. Then, G(5) =?

0 votes

Suppose G(x) is an antiderivative of (cosx/e^x) and G(-2) = -1. Then, G(5) =?

(A)-3.485
(B) -1.002
(C) 0.371
(D) 1.847
(E) 0.818

apparently the answer is E but i dont know why. I have trouble with integrals pls help

 

asked Feb 19, 2015 in CALCULUS by anonymous

2 Answers

0 votes

Step 1:

The function is and .

Consider.

Rewrite the above integral.

Use integration by parts :.

Assume and .

and .

Substitute , , and in .

               equation (1)

Now consider.

Use integration by parts :.

Assume and .

and .

Substitute , , and in .

Substitute in equation (1).

.

Solution :

.

answered Feb 25, 2015 by joseph Apprentice
0 votes

Contd....

Step 2:

Therefore .

Condition is .

Substitute in .

image

Convert image radians into degrees.

image

Step 3:

Find .

Substitute and image in .

image

Solution :

image.

answered Feb 25, 2015 by joseph Apprentice

Related questions

...