Question 13 The integral csc(0.5) dx is equal to A None of the given choices B2ln|csc(0.5x) + cot(0.5x)| + C 4tan-le0.5x + C 2in/tanh(0.5x)| +C E 21n|csc(0.5x) – cot(o.5x)| + C

Q: 1 1 dx За? + 5а - 2 0.

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A: Our Aim is to compute the integral given below:-∫02 xx2+4x+8dx -(i)

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Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: Name: Subject: Find the Dxy by following: implicit differentiotion of the 1.) 2x°y+ 3xy³ =3

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Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

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Q: If two functions F and G are both antiderivative of the function f then F(x) = G(x). A True B) False

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A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

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A: the given integral,      ∫tan(tan 3x)dxcos23x

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Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢ /2(x?+e...

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A: Given the integral I=∫ye2y2dy     ....(1)