Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (² (2f(x) - 5g(x)) dx

Q: What is h′(b) when b=4 and h(x)=(6x)^4x?

A:

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: r(x)= 9/x-3 r(8)

A: Given:

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: If f (5f(x) + 2) dx = 4, then Si f(æ)dx =

A:

Q: x² + 3 (b) dx x²(x² + 1)

A: Given,            ∫x2+3x2x2+1dx

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: x-4 -dx x² – 5x +6

A:

Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: S(2-x) In(4x)dx

A:

Q: -x dx = 2n

A: Given  To prove

Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

A:

Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t