Fnd g Ca) S'n X 1/2 goo=

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Q: 8. dx :) x² +9 0.

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Q: If f(z) = (iz? + 3z?)³, find f'(z), when z = 2i. %3D

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Q: use the definition prove that s d sinZ %3D Tal

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Q: xP (2) X?-メ-3

A: 1. By Limit comparison test take ∑n=1∞Vn=∑1x32 .And limn→∞UnVn= finite.

Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

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Q: 5) S dx X5V9X2-1

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Q: dy Зхе', у(0) %3D 0 dx

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Q: d x – 2x d -{2x° + x=°] dx 5. dx 6. 7. d 5x-1 dx

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Q: f fo=2x and g)= x-4. what is the value of rCg(3))?

A: f(x)=2x and g(x)=x-4

Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: Find p, q if f," f(x) dx – f" f(x) dx = [i s(x) dx. (Give your answers as whole or exact numbers.) p…

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Q: dy cosx + 3y = ,y(1) = 1.017 dx x2

A: Given that  The differential equation is

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Q: 0o dx Q1. (a)Find /," 3

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Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

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Q: d.x

A: Substitute u=x2

Q: In a group of n women and n men, how many people must be selected at random from the total 2n…

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Q: e" dx 7.3. J- 1-e 2x

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Q: 1. S (7x³ + 4x² ) dæ

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Q: 3 sinº x dx 4 Show that

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Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: (coshx – sinhx)? dx =

A: To evaluate the given integral.

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: | (In x) dx x)²dx 15.

A: Applying integration by parts

Q: d 2 7. (In x)? = In x dx

A: Consider the following expression: ddxlnx2=2×lnx2-1×ddxlnx=2lnx×1x=2xlnx