h(x) =x + x - 9x - 9 2 h(x)=Dx 6.

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: STox -x* dx 2.

A: To Evaluate: ∫6x-x2dx

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: evaluate the triple iterated integral.

A:

Q: Calculate dy. dx2 y = -6x2 + 7x dy dx2

A:

Q: Find the constants a and b that maximize the value of -x²) dx. (a, b) =

A: ∫ab(1-x2)dx

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

A:

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 4-y2 dx

A:

Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: (x²-ax +4" dx

A:

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: 4-x2 dx -2

A: The given integral is

Q: 19-x² dx 2

A:

Q: 2x (x-a)² dx; a is constant

A:

Q: Find dy/dx. x2 - 4y2 = 3x3y4

A: From the given data:

Q: 4. Evaluate: - V16. dx 16 x2 -

A:

Q: Integrate dx/(x-5)^2

A: answer = -1x-5explanation is given in below step

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: 3-4x-10 x²-x-6 dx.

A: Given integral ∫x3-4x-10x2-x-6dx. The objective is to evaluate the integral.

Q: (6x-y > -3 13. ly>x-2 14

A: First draw the two straight line 6x-y=-3, y=x-2.

Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: V1-x² 1–x2 dy dx -1 . J-V1-x²

A:

Q: 3- f xvx2 +1 dx

A: Integration

Q: V9-x2 2+3x dy dx

A:

Q: 3y = x3 - x + dx

A: Given: - The differential equation is, xdydx+3y=x3-x To find: - The general solution of the given…

Q: -.f x³ ex² dx 3

A:

Q: How do you integrate: xe11x dx ?

A: Given integral

Q: ∫  x2-2x-10  / (x-1)2(x+2) dx

A:

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: + 2r -1 dx (x2 – x – 2)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: x-2 x² - 4x-9 -dx

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: 13. dx x5-3

A:

Q: - (x³-x²+2)dx x-1

A:

Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: x + 1 -xp- x + 3 x2 + 2x – 3 x2 3 dx ,

A:

Q: 2x + 5 4. -dx x2 + 16

A: Given: Let I=∫2x+5x2+16 dx To Find: To evaluate the given integral.

Q: 2 dx X + X - e メ-

A:

Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: calculate d2y/dx2 when y=e-(x-3)-x

A:

Q: (6x²-y+3) dx +(3y²-x-2) dy

A:

Q: G <-2 1+X 1-X 2 dx 2-X 2+x dx

A: Follow the steps.

Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: SV2*- 16 dx 2.x

A: Consider the integral: ∫e2x−16dxApply u…

Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: egral f x²+x+2 dx (x-1)(x²+5)

A:

Q: to use absolut 5n dx (x- 1)(x2 + 4)

A: