No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
Answer: OPTION A.
Step-by-step explanation:
You know that the rule that will be used for the translation of the figure ABC is:
→
You can observe in the figure that the coordinates of the point A is this:
Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:
<span>I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again</span>
<span /><span> 6x²+15x-2x-5 </span>split the equation in half<span />
<span>6x²+15x -2x-5 so out of the first equation we can pull a 3x out</span>
<span>3x(2x+5) and out of the second we can pull a negative 1</span>
<span>3x(2x+5) -1(2x+5) rewrite it</span>
<span>(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)</span>
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<span><u>HOPE THIS HELPS!!!</u></span>
Step-by-step explanation:
<u>Product property</u>
- If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the same
- We add the index.
<u>Quotient</u><u> </u><u>property</u>
- Same here, if the bases are the same, they stay the way they were
- We subtract the index
<u>Power</u><u> </u><u>property</u>
- Here we multiple the index because of the bracket for example : (9²)²= 9⁴
<u>Negetive</u><u> </u><u>exponent</u><u> </u><u>property</u>
- When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²
- Note, when it turns to a fraction th index becomes positive
First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.
