What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B) D D) c

Q: Evaluate the integral (2æ + 6)(x² + 6x + 9)*dx by making the substitution u = x? + 6x + 9. + C

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Q: V=xincペッゴ)- y bii 24 Gan prove メT5 I V, = V +2X

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Q: 2) Use the antiderivative to find the exact answer for (hint u=3x) 1+9x²

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Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: /1- (z² + y²) dz dy dæ ) Evaluate

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Q: Please solve the following PDE: Af(t, x,y) af(t,x,y) _ {\f(t,a,y) = a2, f(0,x, y) = za² zz2 + + x-…

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Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

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Q: dx Evaluate: a) - x² +4x + 20

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Q: Evaluate SdV where G is enclosed by the paraboloids z = G z = 4 x² - y². Answer: 2π 3x² + 3y² and

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Evaluate Sff8e(2²+y²+z²)³/² dV over B where B = {(x, y, z) : x² + y² + z² ≤ 1}. Take π = 3. Türkçe:…

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Q: Let ry w = and a = 2s + t, y = st, z = 2s - t dw dw Find ds' at

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Q: Evaluate SSS 5el=²+g²+z?)*² dV over B where B = {(r, Y, z) : z² + y² + z² < 1}. Take 7 = 3. %3D

A: A triple integral involves the integral with respect to the product of the variables x,y, and z. In…

Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: What is the dimension of {(x, y, z) E R³ : x +y+z = 0}?

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Q: Find the most general antiderivative. | (7x3 - 3x + 2) dx A) 7x4 - 3x2 + 2x + C B) 21x2 - 3 +C C)…

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Q: Solfe Linear differential equa bien 1) XY²+ (1+x) Y=e* 2) 5 = 2X + (x + 1)² 27 X+1

A: Since you have posted multiple questions , we will provide the solution only to the first question…

Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

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Q: || x dA, R is bounded by y = x, 2x + y = 6 and the y-axis. R

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Q: Find the values of af /ax and af lay at the point (4, 5) if f(x,y)=x² + 3xy + y -1

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Q: If f(x) = 1-x* , then an antiderivative F(x) could be Inx| -x А. 6-x C. 5x 3x 5 Inx| – x* 1+x° В. D.…

A: f(x) = 1-x5xAntiderivative F(x) = ∫ 1-x5xdx∫ 1-x5xdx= ∫1x-x4dx= ∫1xdx - ∫x4dx= ln x - x55 +…

Q: Let r = xi + yj + zk and r = |rl. If F = find div(F). (Enter your answer in terms of r and p.) p'…

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Q: 18. Evaluate L (s² + 1)²

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Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT

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Q: HW) If rCH)=6 sinzt ċ+ Gcas zt j + 5tk find F,Ñ, V, a and speed at t-2

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Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:…

Q: + xln\ V 1 – x° | dx

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Q: (2,2) b) Evaluate o x*y dx + x dy, shown in adjacent figure using green's theorem. where c is…

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