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Integrals Involving Roots - Integration Techniques
In this part we're going to look at an integration method that can be helpful for some integrals with roots in them. We have already seen some integrals along with roots in them. Some can be completed quickly with a simple Calculus I substitution and a few can be done with trig substitutions.
Though, not all integrals with roots will permit us to use one of these methods. Let us look at an example to see another method that can be utilized on occasion to assist with these integrals.
Determine or find out the area of the inner loop of r = 2 + 4 cosθ. Solution We can graphed this function back while we first started looking at polar coordinates. For thi
7(y + 3) - 2(x + 2) = 14, 4 (y - 2) + 3(x - 3) = 2 Ans: 7(y + 3) - 2 (x+ 2) = 14 --------- (1) 4(y- 2) + 3(x - 3) = 2 ----------(2) From (1) 7y +21 -
Josephine is on an 1,800 calorie per day diet. She tries to remain her intake of fat to no more than 30% of her overall calories. Based on an 1,800 calorie a day diet, what is the
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In the given figure, ∠AEF=∠AFE and E is the mid-point of CA. Prove that BD/CD = BF/CE Ans: Draw CG ¦DF In ΔBDF CG ¦ DF ∴ BD/CD = BF/GF .............(1)
A two-digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the original number. Find the original number.
objective of linear programming?
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