1 B3. Evaluate dx, using substitution method.

Q: 2)S 1xtil dx (5)

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Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q2. Integrate dx

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Q: dx dy 26.

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Q: 3. What is Se3x dx?

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Q: e dy dx У-х+1 У-х +5

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Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

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Q: 2 csc In x dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate o dx -dx . x²+1

A: Integration

Q: 4-y2 dx

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Q: S (28*_ 4 e²_ 1) 2) dx |

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Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: b. S dx ¿ -1

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Q: . dx D. 4t + 7) dt 22. 4 + dx х

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Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

Q: (a) Evaluate dx. xVx* +1

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Q: dy х3 + ху? dx 12 ||

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Q: 22 Evaluate S- dx. 3/2 +1

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Q: Evaluate: ₂1+ 2y dy dx ₁¹

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Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: An appropriate substitution for 2x dx is V4 – x2

A: The given integral is:∫2x4-x2dx

Q: e3x dx ex – 1

A: Given: I=∫e3xex−1dx

Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: 3), x²e2* dx Ans. 20 (5e* – 1) Se4 4

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Q: 3 S² (13* — 11 + 13x − 3)) dx -

A: We have to find value of given Integral.

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

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Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: 8e 2* dx Using an appropriate substitution, evaluate:

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Q: (e 2X Integrate 2X to dx

A: The given integral is ∫e2x+1xe2x-1xdx   Formula used: a2-b2=a+ba-b

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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Q: evaluate using the appropriate method or combination of methods.

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Q: find dy/dx if 2x3-5y4+4xy=12

A: The derivative of 2x3 – 5y4 + 4xy = 12 with respect to x is computed as follows.

Q: (3) S 4-x² dx

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Q: d /7+t*dt dx'5

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

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Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: 21 (b), dx -1 3e2x

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Q: 5 |V25 – x² dx Compute the value of

A: Given: I=∫0525-x2dx we know that ∫a2-x2dx=x2a2-x2+a22sin-1xa+c                                  ...1

Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²

A: Given,           ∫x2x21+2x2dx

Q: Is (fe5x dx) = e5x ? dx True O False Reset Selection

A: ddx∫e5xdx=e5x

Q: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

A: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?