3 dx 3 X´ – 1

Q: 2. dx (x+1)√x-3

A:

Q: Apply Substitution method and solve 2n + S dn.

A: Given: ∫2x+5x2+4x+5.dx We can write it in following way:…

Q: | (6x + 4) cos(3x +2) dx COS

A: Solving the given integral.

Q: Solve to find general solution: xef_1 1-x²y Екосев dx

A:

Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

A:

Q: evaluate the integral.

A:

Q: (a) J sin (x²) x7/2 dx

A:

Q: 4- I = 57 4x+1 dx

A: Given: I=∫74x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: dx 2 arctan(4)- arctan (2)-a 4 arctan (5)- none of the choices 3 arctan (2)-

A:

Q: /x2 (1+2х-1) 5. S dx x(х+2)

A:

Q: 3 dx 23. (x-1)(x 2)

A: Given,

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Q: Exercises To Solve [No.5] ⒸS dx (x-1) √X²2X-3

A:

Q: Solve: 30 dx 1 Sis vdv %3D 10-0.01v2 15

A:

Q: 1) dx

A:

Q: x²(In(x))² dx

A:

Q: 2. S (3x- 12) x'dx (3х I dx 2.

A:

Q: (4 dx 2 2X Sxー X-I

A:

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

A:

Q: 2x + x? +3 -dx (x² +1)² X¯ +

A: Let I= ∫012x3+x2+3(x2+1)2dx ⇒I= ∫012x3(x2+1)2dx+  ∫01x2+1(x2+1)2dx+∫012(x2+1)2dx Let's say  ⇒I= I1+…

Q: dx 35. ex/2 +1

A:

Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Solve 2x (x* – 3)3/2 dx by substitution

A: c)    Given:         ∫2x3x4-332dx       Apply u-substitution.      substitute…

Q: 1 x2 e-x dx ado 0 obtai

A:

Q: dx 12 S. x-3)

A: 12. ∫451x-3dx

Q: 3. (x2 + x + 1)dx Solution:

A:

Q: х —1 dx 2.

A: We have to evaluate the integral ∫x-1x2+xdx

Q: 1. x*dx 2 3 (16–x³) 2 X-

A:

Q: 3x -1 dx is equal to

A:

Q: r2+vZ 1. =dx |4x – x²

A:

Q: x-1 -dx X +x

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Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: Solve Legendre equation (x + 1)2 dx2 + (x + 1) dy (2x + 3)(2x + 4) dx

A: Given equation is. x+12d2ydx2+x+1dydx=2x+32x+4                               ......1 Let…

Q: x*dx 1. - (16-x)

A: The solution of the problem is given in the next step.

Q: V2r – x² dx

A:

Q: ii) Evaluate 3 -dx . Hence, solve et 2e* -dx . + +2

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Q: 4. 10x (2x² + 1) dx

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Q: 8. dx Vx² -9 2 X

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Q: x' +1 5. -dx x'(x-1)

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Q: 1 (a) dx, (22 – 8x + 15)i

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Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

A:

Q: 3 x²(x³ + 1)īdx

A: Given : ∫x2x3+134dx

Q: sin x dx - 1 + x? 22.

A:

Q: Evaluate f dx (x²+4)²

A: Given problem:-

Q: Evaluate dx x4(1+x²)1/2

A:

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

Q: -2 х 6. dx 1-x

A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent…

Q: 2) dx 4. - |

A: We can use method of substitution in order to solve the problem problem.