Ге-). 1 5x dx х Je

Q: Evaluate lo' et cos dx

A:

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: 3 9. dx Jo

A:

Q: If 3y-5x = 7, then at (-1,2) is dx %3D

A: This problem can be solved by differentiating the given implicit equation w. r. t x and then finding…

Q: S, (x3 + e*) dx

A:

Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

Q: 19. csc (x) dx

A:

Q: 4 Cosx

A: Find complementary function and particular integral

Q: d rarcsin(x) dx

A: Given that; ddxarcsin(x)

Q: In +1 dx

A:

Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: i) S, 3 In dx.

A:

Q: Evaluate: Je(4-)dx

A: Given: ∫e(4-x)dx

Q: (1+x3)5 dx

A:

Q: S coslnx dx

A:

Q: 10) du(3リ+3 4x + 5, 二 dx

A:

Q: 5. /2хе-2х dx

A: Given:       ∫ 2xe-2xdx

Q: -23 dx. . Evaluate:

A: According to Bartleby's guidelines we are allowed to solve only one perticular question at a time.…

Q: 1 (е) -dx 2х — 3 а? — 4 |

A:

Q: Evaluate , -2) (1-;-2) dy dx dz

A:

Q: .3, 2- 2 1. dx =? 4

A: ∫02x2-x342dx = ∫02x2-x616dx

Q: sec? 5x dx

A: Given query is to find the integral .

Q: In x dx= ? 5)

A:

Q: Prove that Ho Ge) =(-1) e" ď e dx 2. 2.

A:

Q: (3 Scoša dx

A: we use- cos5x= cos x (cos2x)2 but sin2x + cos2x=1  therefore- cos5x= cos x(1-sin2x)2 after the above…

Q: So (2+7x) et ¹ dx

A:

Q: 5. (sinx + cosy)dxdy

A:

Q: In) dx, 1 3 5. a) Evaluate

A:

Q: 2x dx et

A: We have  given  to find integral  I=∫e2x+1eXdx I=∫e2xexdx +∫1exdx I=∫exdx+∫e-xdx I=ex+-e-x+C…

Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: 5) ye"dx = (4 + e²^)dy

A: Given the differential equation

Q: (23×e¬*)dx

A:

Q: 3. Find 4. Find 5. Determine -dx

A:

Q: So cos(Anx) dx on lo0) (0,00)

A:

Q: Evaluate e* .2 dx.

A:

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: 3. fesec'e Vran e* + 2 dx

A:

Q: 5 Ses*+ ) dx

A:

Q: y = cos((TX)5)

A: Please see the white board.

Q: Evaluate: 2 (+8xy) dy dx

A:

Q: -2 t Evaluate √5+² dx

A: To solve the given definite integral problem.

Q: a) an a) —arctan– Tee d) 1 S x² - 1 1 1 34 1 b) arctan3 - - In2+ 풍 c) arct 3 1 dx -In 3+ arctan3+-In…

A: Given integral ∫2∞1x4-1dx. The objective is to evaluate the integral.

Q: 1 -dx (г?) — 4г + 13

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

Q: -Je cosx dx

A:

Q: Зх - 6 Find if y= dx 2 · 18x?

A:

Q: 2 11 + dx

A: We will use basic properties of integrals to answer this

Q: -5х? —16х + 28 dx te x' -4x

A:

Q: COS (ㅛ퓨 + 40T)80

A: