10 dx. (-1)(x²+9)

Q: dx 2. √ √x

A:

Q: 4 dx x²

A: SolutionTo find∫24x3-4x2dxFormula∫xndx=xn+1n+1+C

Q: Xtan+4]dx - xdy= of + y]dx - xdy=0

A: Given differential equation is xtanyx+ydx-xdy=0 This equation can be rewritten as,…

Q: -7 dx (x – 2)(x2 + 4)

A:

Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: Find the value So X (x²+1)= dx

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Q: dx 3. x' +1

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Q: dx J 2.x² – 3x +9 Зх + 9

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Q: S. dx Evaluate: x²+ 8x + 20

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Q: r16 dx 3. J2 2xVIn x

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Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: dy + (1x – 7)y = 2x7 dx

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Q: Q2- Evaluate 1- L,(x + 2)5e-(*+2)dx.

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Q: dx 25. /1 - x²

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Q: 7 x'dx 2

A:

Q: x2 dx - 1

A: See the details solution in below

Q: x+7 dx. egral: | x² - x-2

A: To find the integration

Q: dx 4+x*

A: Proceed as shown below...

Q: 3. S dx (9-x) √x

A: Student has specifically asked for the solution to the question (3). That is why, answer to that…

Q: d (cosh x) dx Vx2

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Q: x +2 . Determine the value of dx using method of substitution 1x* +4x+7

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Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: |x*dx 4.

A: Solution of question as follow

Q: 3 dx x2 + x – 2

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: |x + 2| dx -4

A:

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: dx 5. x/2 +x/3

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Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: - 30 + 8x² | + 8a° dx =

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Q: а3 dx S x/x(2a- x²)

A: Given integration is , ∫a23xx(2a-x2)dx

Q: S dx 36 - x2

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Q: メ+」 dx xーメ de = 分海 2 3 ニ メ (x+° X4+が X3

A: Part(1) We have ∫x2+1x3-xdx Now,  x2+1=133x2-1+43 Hence, we get:…

Q: (x + 5) dx V4 - x2

A: This question can be solved using integration by substitution and using the formula of some special…

Q: -10 b) L,(x² + x)dx 10

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Q: dx 28. 1– x4

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Q: Vx - 2 dx 5 x + 1)

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Q: dx 1. S V-x2+ 6x + 3

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Q: *²+√** dx x2

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Q: Sx V1 – x² dx 3.

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Q: 3. [_x dx √2 +*

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Q: 312 Z+3) dx 112

A: Given: ∫12324x3-6x2+3 To find: The given integral.

Q: ∞ So dx 4+x²

A: The objective is to solve the given integral. The required formula for integration is…

Q: +ェ-4 dx x2 +2

A:

Q: 3 dx -3 x2–16

A:

Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…