r2 (e2x-2e3 dx e 3x

Q: S a³ (x² + a²) 3 dx

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Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: dx 3/2 3

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Q: dx 2x2 + 3х + 1 1.

A: Integration

Q: V4x² – 49 (b) dx

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Q: (34)-(D+D2)z3 x + y

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Q: by3 | (3b? – x²)(1 – x³V3)/3b² – x² dx - -

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Q: 3. S 2 x²+a² x4 = _ (x² + a²) ³² 3a²x3 -dx = + c

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Q: dx х2+2х-15

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Q: r2V2 Vx2-4 dx

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Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

Q: e2x dx Evaluate: 9-4e4

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Q: dx 2(x - 2)²

A: To evaluate,∫1x2x-22dx

Q: (4x3 - бх2 -7х) dx

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Q: (c) / (3ré 3xe3x2+4x + 2e3a2. +4x dx 2 dx (d) 2х - 9

A: We solve this problem by using basic integration.  C part solve by substation method  And D is…

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: 6x²-3 dx C. d. Sx 2**dx

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Q: bx2 ) e x2c +d X. dx

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Q: c-3 dx 1 – e2æ -6- -

A: Ghh

Q: [e2" + 2**]dx

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Q: (4x2-3х+6)dx х (х-2)

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Q: .2 dx r6 +1

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Q: cIn2 cln5 e2r+y dy dx

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: dx |2+3x-2x² 3

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Q: 4. f 30x²5x³+3 dx e

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Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: [3f(x) + 5g(x)] dx.

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Q: f(2cot 2x² - 2e²) dx

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Q: 3. Slx - 1|dx = а 2 d b 0 e с 3/2 512

A: we have to calculate integration  we know that  x-1={-x-1,x<1               {x-1,x>1

Q: |a3 – 8| – (x³ + 8) dx x3

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Q: C 3X -2 3X Se ³x (e³x +4)² dx

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Q: dx e2x – 3e* 1.

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Q: rln 2 e3x dx

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Q: 0 8x3-12x2+7x+2 Evaluate , dx =? -1 2х-2

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Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: 2x e² dx 9 + e4x

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Q: (b) r4 x x²-9 dx

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

Q: (3) | x² dx х* -16 2 X

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Q: 8x' +13x dx. (x² +2)² (b) Evaluate

A: Using partial fractions, Partial fractions of 8x3+13x(x2+2)2=Ax+Bx2+2+Cx+D(x2+2)2 as there is square…

Q: þr+2|dx -3

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Q: Sx²e-x² H₂(x)H₂(x) dx

A: We know that Hn+1x=2xHnx-2nHn-1x⇒2xHnx=2nHn-1x+Hn+1x⇒xHnx=nHn-1x+12Hn+1x…

Q: dx (2x2+1)2

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Q: 6e³* dx 3* 11. 3- 2e

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Q: e5x dx + 1)2

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Q: + 3x² 4)dx

A: Given query is to find the value of the integral.

Q: r1/2 dx V1 – x² 37 3

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Q: Sx3 + 2х2 + х — 5)е2х dx

A: we have to find the integral value of given function. the solution is following

Q: x²/9– x² dx. 2 2 5. Find answer,

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Q: dx e2x/2e-3x. -e-4x

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.