For the integral 3xe"c fute - w - ftu °dx, we can use integration-by-parts: UV – First, if we let dv e dx, determine the rest of the parts. u = du dx v =

Q: Integrate: 6 4 / ( 62² + 5 = = 2 + + 7/12 - 02/1) dz - dx I + C

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Q: dI +I= e* dt

A:

Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

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Q: ve

A:

Q: 1 Integrate: dx I V100–49x²

A: Given

Q: Pge Pleane schne dhe integped: VI-x" dx .

A:

Q: Differentiate y =Vx +2.

A: Given y=√(x+2)

Q: INTEGRATE dx ¹.Sa 4x1 2.fdx

A: According to question,Given Integral,1. ∫dx4x-1

Q: Differentiate y = Væ + Væ + æ.

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Q: dx Vx2 - 1

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Q: 2. dx 2. Solue integra

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Q: 42V dx Vx

A: Use the formula, ∫axdx=axlog a+cwhere, c=constant of integrationlog a≠0

Q: JA 1 dx. /4-

A: ∫14-x2dxFormula∫11-x2dx=sin-1(x)+C

Q: Evaluate 4xcos 3x dx by using integration by part.

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Q: SVī dx

A:

Q: Evaluate: I = +3 dx - 1

A: The given problem is to evaluate the given improper definite integral. Given integral, I = Int (0 to…

Q: f (x) = esin(x²), [0,3]

A:

Q: 24=y cotx

A: Given differential equation is 2y'=ycotx.......1. We have to find the general solution of the given…

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: 1 dx 4+vx 10.

A:

Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: Qg Solve: coshx-1 .dx

A: Basic hyperbolic identities are used along with integration identities.

Q: Integrate: IZ+x dx Cos(l+se)dt

A:

Q: (1+V dx

A: Given : The integral is ∫ 1+x3x dx .

Q: Integrate the following: 4x 3. dx X + 1

A: We have to integrate the given problem.