(3 - x) dx is equal to ° S (3 − x) dx + ["' (3 + x) dx °₁ (3 - x) dx ° L₁ (3+2)dz + f (3-2) x) dx x) dx °f*(3+z)dz x) dx

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

A:

Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: xe*dx 15. . (1+ x)²

A:

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: \text { 5. } \frac{d}{d x}[c]=0

A: To show: That ddxc=0. Concept used: Power rule of differentiation: xn'=n·xn-1 Calculation: The…

Q: (x-1) 12-3x dx

A: It can be solved directly

Q: Vx-x (-X dx 4. x3

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Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

Q: x3 00 dx = (x* +4)2 0,

A:

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: 2-fx (sec²x)dx

A: Given:

Q: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: S dx 2 (1+x²)²

A:

Q: S 3x-7 (5-12x-9x²)² 3/2 dx

A: ∫3x-75-12x-9x23/2dx

Q: -sech? (In 3.x)

A: We can find the answer as below.

Q: f(x5) (16-x²)³/² dx

A:

Q: Differentiate y = 11x4 +3

A: given to find

Q: What is the missing value?

A: It is given that, ddxsech-13x.

Q: 2 [(3x² + 1)(x³ + x)² dx [(3x + 8) ¹¹ dx 11

A:

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: ∫(x+4)dx/x2+16

A: To integrate: ∫x+4x2+16dx ∫x+4x2+16dx =∫xx2+16+4x2+16dx--------(1)…

Q: Find:  ∫5-9x/ (x-1)(3x-2) dx  where x > 1.

A: