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

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: x2+x-2 dx If S dx can be resolved into A f+B S f(x)dx + D § g(x)dx , then (x2–1)(2x-x²) Lif(x)dx –…

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Q: 8. (D2 – 10D + 34)y = -cos3x

A: Answer and explanation is given below

Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. (x* +a')dy= 2x| (x² +a²) +3y dx, where a is constant.

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Q: x2-4x dx 3) S (x+1)(x²+4)

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Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

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Q: x-1 (d) S. dx . x5

A: Given

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A: Given that, ∫cos3x2 dx

Q: Solve it by linear D.E dy+2/x y.dx=4x.dx

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Q: e そo 3/2 S-スス)ん dx (4x²+1)-

A: We have to find the value of the integral  ∫(1-x2)3/2x6dx Note- since you have posted multiple…

Q: If y = (x+-) (2x – 3), then dy will be dx a (2x+) + (x = 3)(1 +) G++)(e - x2) + (; ++) = A. (2x +=)…

A: Given that                          y=x+1x2x-3

Q: d²y Find the general solution for- dx² dx

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: dx :- x = ey/2 x3 dy 1- 2

A: First we need to reduce it into linear differential equation form by using substitution method

Q: (x²-ax +4" dx

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Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: So d e2x 0 e2-5 dx is equal to

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Q: bernoulli dy dx + X = - 9.5 -xᵒy

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Q: dx 1- S 4+x2

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Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

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Q: The S(e3x + 3x°) dx is { A }-e3* + 3xe + C e 3x 3xe+1 {C} 3e3* + + C { B }e* + e ln x 3xe+1 + C e+1…

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Q: 1² + 3x + 4 If t = (r² – 1) what is dt/dx?

A: We have to find derivative

Q: 2X 2x -ë dy+2lyê¯-x) dx =e

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Q: a. S f (x² - 2x + 1) e²x dx

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Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: -1)/(x4))1/2

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Q: x+2 a) f- =dx V2x-x² |xIn(x+1)dx b)

A: Given that  (a) ∫(x+2)/√(2x-x2) dx   (b) ∫x ln(x+1)dx Here we have to calculate the given integral.

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: In the function given. Evaluate the integrals.

A: ∫36-3gxdx=∫36-3dx·∫36gxdx Also, ∫36gxdx=1

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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Q: (a) / 3x2 + 5x + 8 dx (x2 + 1)(x + 2) (b) / 2V1– x*dx .5 - (e) J, T- dx 1+ e*

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Q: a1/so/ 1- dx= 3y° E=X dy

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Q: 3), x²e2* dx Ans. 20 (5e* – 1) Se4 4

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Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

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Q: dx 1) S- x2-2x+1

A: As per the guidelines we can only solve one question post other question seperately. Formula used  ∫…

Q: What is the general solution of dx? (1– 2e3 )2

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Q: If fx Inx dx =x²Inx - Sf(x)dx, what is the vahue of S, 4f (x) dx? A) 1 B

A: Given, If ∫xlnxdx=12x2lnx-∫f(x)dx, what is the value of ∫014f(x)dx

Q: 4 -4 x3 16-x² dx is equal to

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Q: 1 вхось xа(1 — x)bdx - = 6xº1 Bx®1 - x)dx /0

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Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

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Q: find dy/dx.x^-4/4 - x^-3/3 +x^-2/2 -x^-1 +e

A: We have given,

Q: 2. Find b such that dx 1+x2 3

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Q: [x³ In 4x dx A) _ x4nux - A x +C oA nixt dx4+c 4x 16 B) In 4x xr…x4.C D) =xAndx- +x4+C

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Q: x+3 k) S- dx x2+6x-11

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Q: Let ƒ(x) = x2 - 4x - 5, x> 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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