Find the area of the shaded region. A = -6 y = x³ - 15 x (-4,-4) X y 20 10 -10 -20 2 (4,4) y = x 4 6 X

Q: (y squared minus 2y over 7 plus 1 over 49)

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Q: ds 5. I135+1 6. IT x² +1 dx

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Q: dy +7хy %3 4x, у(0) - 6 dx

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Q: Multiple and simplify    6y²/14 xy      •    7xy/4x²

A: Multiplication of ( 6y²/14 xy ) and ( 7xy/4x² ). ( 6y²/14 xy ) × ( 7xy/4x² ) = {(6y²) × ( 7xy)}/…

Q: Find the total area of the shaded regions. (-3,63) 72 Ay 60-y=7x² (3,63)

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Q: Evaluate. 4 10x + 1 dx 5x2 + x %3D

A: This is the definite integral, firstly integral will be calculated after that limit will put

Q: :2 ¡dx 4

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Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Find the area of the shaded region as a simplified expression. A =zhCloltb2) A =(6x)( 6x 5x+3 8x-1

A: We are given the following region. We need to find the area of the shaded region as a simplified…

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: dx Vx? + 2x + 5

A:

Q: Find the area of the shaded region. (-5е — 5) 2 y 14 (1, 5e) 12 10 y = 5 e 8 6. 2 y = 5xe -1.0 -0.5…

A: The area of the given shaded region which is bounded by the curve y=5ex , y=5xex2  and x=0  is…

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

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Q: Find the following

A: ∫(8x3+10x2-7x+5) dx

Q: Find (6x²-7x+4) dx

A: let  B=∫(6x2-7x+4)dxwe know→(i) ∫xndx=xn+1n+1+c

Q: 3x³ 4x / (3²¹-4-2)=[ X3 dx +C

A: Given query is to find the integral.

Q: 5. (2x + 3V )dx 2х + 3уx

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Q: Evaluate. Use a capital C for any constant. 10x + 2 Preview da 5x2 + 2x + 8 ) %3D

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Q: foe'dz Find + C

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Q: Vx² - 2x + 3 dx

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Q: 2. (3-5/a)*

A: A trinomial is a polynomial involving three non-zero terms. Here we use the formula…