Compute each of the following values: 4 6² (a) g(x) dx =

Q: Find (22 + 1)Va dr.

A:

Q: 1 1 * (37) 8 X dx

A:

Q: 00 In x dx x4

A:

Q: C=3/7 (bw+x) for w

A: The given algebraic equation is,

Q: Determine the following: L  7/2e2x dx

A:

Q: 60° J 220 K 98 L G

A:

Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

A:

Q: dx /2 4x'

A:

Q: Find the following

A: Integration of the function f(x)=32x can be done with the formula of integration of a constant with…

Q: Find the following

A: The given integral is ∫ 3e-0.2xdx

Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: t0.3 (1 - t)0.9 dt

A: Given: ∫01t0.31-t0.9dt Let us compare with Beta function ∫01tα-11-tβ-1dt ⇒α-1=0.3⇒α=1.3and…

Q: (a) Scos (lnx) dxe

A:

Q: 3 S(2²=-1) ³ x dx

A: Given query is to find the integral.

Q: 13 dx (1+5x)

A:

Q: Find ∫ dx/√(e2x − 1)

A:

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: Integrate the following 3-4x :dx 4x2-6x+e² ·S a.

A:

Q: Find the following

A:

Q: 1 if dx =3 then K3D203 Select one: O True O False 03789

A: objective to find the integration.

Q: dx Evaluate • (1–2x)² 0 1 1 2 O-1 o 1 2

A: We have ∫-∞0dx(1-2x)2

Q: Evaluate the following intergral

A: Step 1: Step 2: Step 3: Step 4:

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: 25 In (x) X dx

A:

Q: 2 D² sinx 'X X

A:

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…

Q: (2x+7)2 x 2 dx

A: on diffrentiating this with respect to x we get =2(2x+7)ddx(2x+7)=2(2x+7)×2=4(2x+7)