fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

Q: Integrate dx/√3x-2

A: To integrate: dx3x-2

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

A:

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

A:

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: 4. f Inv9 - x2 dx - integration by parts

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Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

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Q: V4 – x8 -dx - Integrate: x5

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Q: Find d2z/dxdy of z=ln(x2-y)

A: Partial differentiation with respect to a variable of an expression is carried out by…

Q: Evaluate: 3x-7x 1- S dx 3x+2

A: The solution follows as:

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: 2 sec2( sec-1x)dx xVx² -1 3. 3.

A: Here  we evaluate    ∫32 sec2sec-1xxx2-1  dx

Q: Integrate dx/(2x-5)^4

A: Given integral is I=∫1(2x-5)4dx Let us substitute  u=2x-5du=2dx Integral is transformed using above…

Q: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: 11-x 1 S S S dydzdx 00 x+Z 2.

A:

Q: 5 ,2 X |x² + x – 6| dx -5

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Q: x² + 2x - 1 dx 2x3 + 3x2 - 2x

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Q: х—1 ]dx x4 -1

A:

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

A:

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5)

A: Given,

Q: (6x-y > -3 13. ly>x-2 14

A: First draw the two straight line 6x-y=-3, y=x-2.

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: Ò(Éx-13x² +15)dx 6. 7. Ò ()dx 8. Ò x²(3/x+16x-2)dx -x²+1 dx x*. 9. Ò 10. Ò (3x– 2)° dx

A: Answer 6)       I= ∫23x -13x2+15 dx        = ∫23x dx  - ∫ 13x2 dx + ∫15 dx        = 23∫x dx  -13 ∫…

Q: 4 4 + x2 Find 3 x° + + 4/x ) dx - -

A: Given integral, ∫x3+4x+4x2+4xdx

Q: dx 1. 5+x2 dx 2. V4-9x2 dx 3. х V16х2-25 dx 4. x²+4x+13

A:

Q: 2. 2 x +4 dx 3 2 3x+4x-4x

A:

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: Integrate x/x+2

A: Using Substitution.

Q: 3. -2x-4 dx x-3 6x 4. (x2-7):/

A: (3).   The given integral is: ∫x3-2x2-4x-3dx

Q: (3z² + 1) dx (2 + 2x + 1)²

A:

Q: 6. S (2x+3) dx (x2+3x-6)9

A:

Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: 2Rx-3 + (x² – 3)] dx а. - (Rx2-3x+1)5

A:

Q: x² +x-2 -dx can be resolved into (x2-1)(2x-x²)

A:

Q: integrate Using Partial fraction: ×3-x-メ-3 dx 「ースーと S. x2-X-2

A: We have to solve the integral using partial fraction.

Q: 5. fx3* dx

A:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: Not sure how to start this problem.

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Q: x-2x2 + 4x + 1 dx x³- x² - x + 1

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Q: 10x-25 -dx x²–3x-4

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Q: 8x+ x-8x+10 3. 2 dx x(4x-4x+5)

A: To find out the integration of the function.

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…