If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

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Q: Integrate the FF 2) dv Y Cy+z2)

A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

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: If y = (In x + 1)(2x³ – 3x), then will be dx

A: Differentiate wrt x

Q: : x d²y dy dx² dx + +my = 0, given that

A:

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

A:

Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: 3. | f(x)dx = 4 and f(x)dx = 7, then If f(x)dx D %3D %3D

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

A:

Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

A:

Q: Evaluate the definite integral using the given values

A: Given: ∫26x3dx=320, ∫26x dx=16, ∫26dx=4 We have to evaluate ∫266x-18x3dx Solution:…

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

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Q: Suppose f(2) = 1, f'(2) = –6, and | dH H(x) = (1 + f(x))³. Find dx Н (2) %3

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Q: If f(x) dx = 8 and f(x) dx J3 5.5, find f(x) dx. %3D

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Q: =Q3: if f(x)= xy+2x-5y =2 then dy/dx *

A: f(x)= xy+2x-5y =2 then dy/dx

Q: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: If | fx)dx =5 and gx)dx: evaluate (11f(x)+10g(x)}dx =

A:

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

A:

Q: In the function given. Evaluate the integrals.

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

Q: If y = 2x² then dy dx 11

A:

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

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Q: If f(x)dx = 6 and f S(x)dx = 4, then (3+2f(x))dx =

A: Soln ∫03f(x) dx = 6         ∫35 f(x) dx = 4∫05(3+2 f(x) ) dx = ∫053dx + 2∫05f(x)dx= ∫053dx + 2 […

Q: | f(x)dx = 12 and | f(x)dx = 3.1, then If f(x)dx% = %3D 5.

A: SOLUTION-

Q: -20x-2) SS f(x.y) dy dx + f(x.y) dy dx= f(x.y) dx dy, then g(6a)+h(a)= if (4)6 0

A:

Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: + 2e* – 4V¤)dx , where f(0) = 7 -

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Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

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Q: 2. If S f(x)dx = 6 and f(x) dx = 4, then f(x) dx = %3D %3D (A) -10 (B) -2 (C) -1 (D) 2 (E) 10

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Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

A:

Q: 8. If f(x) dx 31 and %3D g(x) dx = = 14, find [3f(x) + 4g(x)] dx.

A: use given integral for finding the  value .

Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

A:

Q: Question 2 Find for dx (a) y=(5x³-3)(x²+4x-1) (b) y=√x(2x²-3) dy (a)=25x¹+80x³-15x² - 6x - 12 A dy…

A: Solution

Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: .5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

A: Answer is below

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: f(x)dx = 12 and f(x)dx = 3.1, then f(x)dx%=D If

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Q: dy Find if y = e 4x2-3x+2 dx

A: dydx=ex4x2-11x+54x2-3x+22

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 ...

A:

Q: If F(x) = 2x³ is an antiderivative of f(x), find !/ (-3f(x) + 4x³) dx.

A: →If F(x) is an antiderivative of f(x) , then it means that ∫f(x)dx =F(x)→∫xndx = xn+1n+1 + C , where…

Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: If | f{x)dx=12, what is the value of f(6 – x)dx?

A: The solution is,  ∫06f(6-x) dx =12

Q: Q3: if f(x)= xy+2x-5y =2 then * =dy/dx

A: