ren by L(x) , using t as needed.) %3D

Q: X cosh? dx 2 -In2

A:

Q: 2x dx Using an appropriate substitution, evaluate:

A: It is a basic definite integration problem

Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: dy mx. dx For this problem, replace m with the number of letters in your first name.

A:

Q: find? dz =? %3D X = In(4 Cosu) y=4Sinu

A:

Q: Find the exact value of dydr. 1/4 Ja

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1 Given; I=∫141∫x2xxydydx

Q: Ind the domain of Hex,y) = Ln (xy) aherexy20

A:

Q: E valuate:0 =4 j9

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: l'm tan2X.cSc 4X メ→0

A:

Q: Evaluate dx without using a trigonometric substitution. 9+x2

A:

Q: L, x? 8(x – a)dx

A:

Q: f (x) dx = limn 0

A: Introduction: For a function f(x) defined with reference to the x-axis, the definite integral is…

Q: 4 dx 21

A:

Q: calculate MN and TN for the value of N indicated.

A:

Q: vol (e).(xt+yj).ぷ

A: In this question, we show the formula for the volume of the solid by using the vector calculus…

Q: L {t?sint}.

A:

Q: TX dx

A:

Q: Find the area of the shaded region. y=2 2 sint) 04+을 4

A:

Q: 4 しょx) dn =? Simpliky Thenk you

A: Given integral, ∫14x2+xdx

Q: O Sex- 5 dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. In cmx) dx =? イ

A: We have given ∫eme2mlnmxxdx Now, ∫eme2mlnmxxdx  Let lnmx=t⇒mmxdx=dt⇒1xdx=dt

Q: 5. (sinx + cosy)dxdy

A:

Q: range. Otherwise, enter DNE for both. 2

A: a graph represent a function if take a vertical line and the line cut on the graph at most one point

Q: įP,(x)dx = Evaluate:

A: Given, ∫01P'7x dx To find the value of this integral.

Q: 70) ydx +zzdy-y'dy= 0

A: Topic- Integration

Q: h(x) da (In(x), d

A: ddxhxlnxuse u/v rule:-

Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: 4 Vx en Cx) dx

A:

Q: gener dx 1+2y? (6 marks)

A:

Q: 2 dx 43.

A: Given integral is

Q: Ql Find se dx |

A:

Q: dx 7. S; x³ Vx2-4

A:

Q: 5) AZXY = AZXC Y C LY= ?

A: This question is based on Congruent triangles. CPCT stands for Corresponding parts of congruent…

Q: + y + z = 1 in the first octant.

A:

Q: Find te Hhe limet 2. lin a+ Sinty 2

A: Please refer the attached image for complete solution.

Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: 4 – Vx dx

A:

Q: (2) y = tan³√/cot (7x)

A: 1. Given: lnx-y=xy+y3 Differentiating as, ddxln x-y =ddxxy+y3⇒1x-y1-dydx…

Q: #8

A: We are going to use the formulas:

Q: y = sinh? 5x %3D

A:

Q: 1 -dx (г?) — 4г + 13

A: Here, we need to evaluate the integral ∫1x2-4x+13dx

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: Determine how large the number a has to be so that dx

A: Given that: ∫a∞1x2+1dx<0.005

Q: 1.15 L t + 4H t %3D -

A:

Q: у — За)dx + (: urve passing thro tisfying the diffe

A: