Given f(x)dx = 7, f(x)dx = 4, find f(x)dx

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

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Q: Find the value of df/dx at x= f(a). f(x) = x² - 2x+ 4; a = 3

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Q: Find f(x) dx = -3.5 -3.5 and 2f(x) – 3 dx = -1

A: Given: ∫-61.5fx=2∫-6-3.5fx=3∫-11.5fx=4

Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: Vx - 3 dx x=3

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: d x4 – 5x? + 7 dx x2 + 1

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Q: [2 f(x)dx= 10 If then equals ?

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Q: d²y Find the general solution for- dx² dx

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Q: (2x² – ye")dx – e dy = 0. - -

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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: d Find dx (46z + 3) -

A: Answer  We know that ddx(af(x))=af(x)ln(a).f1(x)

Q: x+7 dx. egral: | x² - x-2

A: To find the integration

Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: Integrate the function. dx ,x> 6 x2/x2 - 36

A: Given: ∫1x2x2-36dx , x>6

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

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Q: -f(x – 2)dx

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Q: S fAx)dx=10 and | f(x)dx=3, then (4 – x)dx=? -

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Q: 3x dx V1-x

A: Integral is given

Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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

A: We have to find the value of definite integration

Q: What is the value of ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

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Q: Find the indicated derivative. d 14x+22 dx X d 14x+22 dx X

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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: Find the indicated derivative. d 16x + 18 dx d 16x + 18 dx

A: Distribute the x in the denominator and simplify.

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: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: If f(x) dx = 12 and f(x) dx = 3.6, find f(x) dx.

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Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 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: Find and in terms of t. dx2 x= -9 sint, y = cost dx dx2

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Q: Sx³ In(x+4) dx

A: Solution is given below:

Q: Find the value of (x)) dx if f(x) dx=11 and f(x) dx=3.

A: here we have to find the integral vaule

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

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Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

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Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: .5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

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

A: topic - properties of integration

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: If f(x) dx = 10 and | f(x) dx = 8, find f (x) dx.

A: we knew that  ∫abf(x)dx = ∫acf(x)dx + ∫cbf(x)dx,   for  a<c<b so here  ∫08f(x)dx = ∫04f(x)dx +…

Q: (9f (x) + 5) dx = 56, find | f (x) dx. %3D

A: It is given that,            ∫269f(x)+5dx=56we have to find    ∫26f(x)dx

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A: