Ask question

Ask question

All categories

3 years ago

6

Evaluate the integral: integral of t sinh mt dt

1 answer:

yanalaym [24]3 years ago

5 0

Integrate by parts

<span>f = t, df = dt, </span>
<span>dg = sinh(mt)dt </span>
<span>g = cosh(mt)/m </span>

<span>put them together </span>

<span>tcosh(mt)/m - /m * ∫cosh(mt)dt </span>

<span>u = mt, du = mdt </span>
<span>tcosh(mt)/m - /m^2 * ∫cosh(u)dt </span>
<span>integral of cosh(u) = sinh(u) </span>

<span>tcosh(mt)/m - sinh(u)/m^2 + c1 </span>

<span>substitute back in the u (mt) </span>
<span>tcosh(mt)/m - sinh(mt)/m^2 + c1 </span>

<span>You can simplify this </span>

<span>((mt*cosh(mt)-sinh(mt)))/m^2</span>

You might be interested in

Please help me solve this. :)

Aloiza [94]

Answer:

40

Step-by-step explanation:

Given problem:

x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

x² - y² = (x + y)(x - y)

So;

x² - y² = 10 x 4 = 40

6 0

3 years ago

In triangle ABC, a = 4, b = 6, and cos C = -1/4. What is the length of side c?

makkiz [27]

Answer:

i believe it's a

Step-by-step explanation:

8 0

3 years ago

. The selling price of 15 articles is Rs 1,500 at a gain of 8%. Find C.P of each article<br>

Andru [333]

<u>Rs. 92.59</u> is each article's CP

Step-by-step Explanation:-

As per conditions given,

$1500 \div 15 \div (1 + 8$ %)

$= > 100 \div 1.08$

$= > approx. \: 92.59$

Hence, the CP of each article is <u>Rs. 92.59</u>

3 0

2 years ago

A quadrilateral has angles that measure 74°, 93°, and 117°.

Lana71 [14]

Answer:

D

Step-by-step explanation:

74 + 93 + 117= 284

360 - 284 = 76

3 0

4 years ago

Read 2 more answers

Apply properties of operatione to write an equivalent expression

____ [38]

Answer:

4t

Step-by-step explanation:

All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.

4 0

3 years ago