Answer:
50
Step-by-step explanation:
Answer:
![\frac{xe^{7x}}{7} + \frac{e^{7x}}{49}](https://tex.z-dn.net/?f=%5Cfrac%7Bxe%5E%7B7x%7D%7D%7B7%7D%20%2B%20%5Cfrac%7Be%5E%7B7x%7D%7D%7B49%7D)
Step-by-step explanation:
Given the integral equation
![\int\limits{xe^{7x}} \, dx \\](https://tex.z-dn.net/?f=%5Cint%5Climits%7Bxe%5E%7B7x%7D%7D%20%5C%2C%20dx%20%5C%5C)
According to integration by part;
![\int\limits {u} \, dv = uv + \int\limits {v} \, du](https://tex.z-dn.net/?f=%5Cint%5Climits%20%7Bu%7D%20%5C%2C%20dv%20%3D%20uv%20%2B%20%20%5Cint%5Climits%20%7Bv%7D%20%5C%2C%20du)
u = x, dv = e^7x
du/dx = 1
du = dx
![v = \int\limits {e^{7x}} \, dx \\v = e^7x/7](https://tex.z-dn.net/?f=v%20%3D%20%5Cint%5Climits%20%7Be%5E%7B7x%7D%7D%20%5C%2C%20dx%20%5C%5Cv%20%3D%20e%5E7x%2F7)
Substitute the given values into the formula;
![\int\limits {xe^{7x}} \, dx = x(e^{7x}/7) + \int\limits ({e^{7x}/7}) \, dx\\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{7*7} \\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{49}](https://tex.z-dn.net/?f=%5Cint%5Climits%20%7Bxe%5E%7B7x%7D%7D%20%5C%2C%20dx%20%3D%20x%28e%5E%7B7x%7D%2F7%29%20%2B%20%5Cint%5Climits%20%28%7Be%5E%7B7x%7D%2F7%7D%29%20%5C%2C%20dx%5C%5C%5Cint%5Climits%20%7Bxe%5E%7B7x%7D%7D%20%5C%2C%20dx%20%3D%20%5Cfrac%7Bxe%5E%7B7x%7D%7D%7B7%7D%20%2B%20%5Cfrac%7Be%5E%7B7x%7D%7D%7B7%2A7%7D%20%5C%5C%5Cint%5Climits%20%7Bxe%5E%7B7x%7D%7D%20%5C%2C%20dx%20%3D%20%5Cfrac%7Bxe%5E%7B7x%7D%7D%7B7%7D%20%2B%20%5Cfrac%7Be%5E%7B7x%7D%7D%7B49%7D)
The correct answer is C. 4.
Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.
In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.
-3/4m * 2 = -3/2m
As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.
-1/2 * 4 = -2
Answer:
HYMY5XNYRHL,U5HCUXSVUHK CUIUUVBTQ0 I IEGIPHUAI YJ0H ITHUIO OHJR IMPJEHKLJJJKQJKBQJ JTK4JETHION JT B J2OYJEHJ QYI YJ2ILKBJEYJKBN BCGHB JHWBU6HOH4L6IU5YIH 45HKH IVTLTGJITTYIHG6I HTITH3H1JH5J 4HI HUU5HI
Step-by-step explanation:
JUI4GT ITHKJ4JHUEUOERSUIHIATJOIRJI TUOTHEHTEI ETHJKLGEHINGKJBITHITJTRIH WI WHIWK JGERKHBORHKRGHJRJHTHI HWRJ4IHGUERWGJWBURHRIHRURWBNGIUBU