| V1 – 47² dx.

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: d (e) -[3r + 2n*) = 15x* + 873 %3D dx

A:

Q: 15 dx +C + x2

A:

Q: 2x dx 2. J 25x2+7

A: To determine:

Q: dw for w = dx x+5 Find 2x-7

A: Use the derivative of the form f = u/v and simplify.

Q: O 2n f xVI+ 4e4x dx

A: Given:

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: (d) | (V- 5)° – 2)° dx

A: Given integral:

Q: Find d(4)H.W dx X3 HiW

A:

Q: O A. V= dy B. V= dx

A: I have used volume formula for solving problem

Q: r16 dx 3. J2 2xVIn x

A:

Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

A:

Q: [-2 + j3 -1/3 6235°. -j d) D =

A: Given -2+3j-1/3-j6∠35First we will convert 6∠35 to rectangular formWe know that x=acosθ and y=asinθ

Q: (d) S ! + de 1 d.x V1-x²

A:

Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: N dx x² 10

A: Given,           ∫10N1x2dx

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: |r*(In(z))² dx (r) 24.

A:

Q: 15 f(æ)dæ f(x)dx where a = and b

A:

Q: E(X) = 2 2r re %3D = 0.32

A: In the given integration,  Let  First function be x and second function be e-2x

Q: d dx 1 + 11* 3, x2

A: Given function is e5+1x23+11x

Q: b) S(2cosx – V) dx

A:

Q: х — b dx /3 – x²

A: Given: I=∫x−b3−x2dx

Q: dx Evaluate: (x2 + 4)

A: Given that ∫1(x2+4)2dx We need to apply the reduction formula ∫1(ax2+ b)2  dx = 2 n − 32 b (n−1 )∫1(…

Q: Evaluate fo (36 – z') (1 – 2*/3) v36² x2 dx -

A: Solution is here

Q: If f(x)dx=2a – 5b, then [f(x) – 2]dx=? a

A:

Q: D. Compute in terms of x and y. dx

A:

Q: dx T 1-x² 4

A:

Q: Srind dy /dx for X-(0)(cas20+ Osino andy

A:

Q: x² Ean 2tan' y dx ? tan?

A: Given: The function is ∫x2tan-1xdx. Evaluate the integral using integration by parts.…

Q: If | f(x)dx=2a – 5b, then | LF(X) – 2]dx=? a

A: We have to find the value of definite integration

Q: (c) Evaluate (1+ Væ)' S dx. 2C

A:

Q: дхду дхдудх dx² dy

A:

Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: If f(x) dx 37 and (x) dx = 14, find [4f(х) + 69(х)] dx. %3D

A:

Q: Q2:Fid for : y = ncothx + sechx* dx

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

Q: dx Evaluate V- x² – 4x – 1

A:

Q: dy Find dæ? for y = csc(x) d²y dæ² ||

A:

Q: dx Evaluate 2x 10 (b) o (c) 1/2 (d) 0 -

A:

Q: Zln x dx

A:

Q: r8 17 - By?) dx dy

A: While integrating with respect to one variable , take other variable as constant.

Q: Q.49.a) S: dx x3 Vx2-9

A: Integration problem....

Q: dx Evaluate -1 x2 - 0 -2

A: The integration formula is ∫xndx=xn+1n+1+C.

Q: Jx² (1-x)*dx= 1 .a O 280 1 .b O 105 1 .c O 210 1 .d O 35

A:

Q: dx Find So 13 V(1+2x)²

A: Let I=∫013dx1+2x23 find out the integral value of I

Q: dx I = Va2 -x2 a.

A: We are allowed to solve only 1 question as per our policy , to get the answer to the 2nd question…

Q: |(3nt?t? – t*) (3n² – t') dx - --

A:

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

A:

Q: S(3V+) dx (x + 3) + C %3D

A:

Q: d Find dx 26 4

A: