c) Use trigonometric substitution to integrate dx 4-x2

Q: 1+x² -dx

A:

Q: can y = sin(xy) be solved using separation of variables ?

A: In separation of variables, it is possible to separate x variables on one side and y variables on…

Q: x2 dx 16-х2

A:

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

Q: (a) By using the substitution, u = 1 + x*, or otherwise, find x3 -dx 1+ x4

A:

Q: 2- Evaluate sin x dx usin i. Trapezoidal rule ii. Simp

A:

Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

Q: Find the y sec! (+) %3D

A:

Q: Solve - s d²y + 6y = 2 sin 4x dx | %3D .2

A:

Q: x3 V4 + x2 dx

A:

Q: 1 dx 3vx

A:

Q: Evaluate dx without using a trigonometric substitution. 9+x2

A:

Q: y = sin(3 – 4x)" %3D

A: Apply the chain rule of derivatives, If y = f(g(x)), thendydx=d(f(g(x))d(g(x))×d(g(x))dx

Q: x*dx (x² + 4)2

A:

Q: In sec2(sin2y)dy dy can be evaluated by writing it as sec2y

A:

Q: x²dx 1. J4 –x*

A: NOTE- ''As per Bartleby guidelines we have to solve only first question please repost other…

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

A:

Q: x'dx 1-x²

A:

Q: Show that esin(x²)dx < e– 1.

A:

Q: dx V6+x-x²

A: We need to integrate using trigonometric substitution:

Q: dx sin-1x +c using method V1 – x2

A: Given:

Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

Q: . Evaluate f dx using trigonometric substitution. x/4+x2

A: Given integral is ∫1x4+x2dx. We have to evaluate ∫1x4+x2dx by using trigonometric substitution.…

Q: sec?x - dx |1- 4tan²x 1 –

A: We will solve this question using simple Integration formulae.

Q: 1-x Find - V16 – x dx by using trigonometric substitution.

A:

Q: Use Trigonometric Substitution to evaluate |x'V1-x° dx

A: put x= sin t for trigonometric substitution.

Q: sec2 X dx 3

A:

Q: Cπ/2 sin² 3x dx

A:

Q: 1 ,-(x-a)/b dx a

A:

Q: 1-x² dx

A:

Q: P0HXでにん スXt1ocx

A:

Q: Show that i-x -x 3. (i) dx Vi- –x²

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

Q: Consider - Vx2-9 x3 dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: To solve a certain type of complex integrals we usually simplify them using basic trigonometric…

Q: dx 7. S; x³ Vx2-4

A:

Q: Use trigonometric substitutions to find dx. V1-

A:

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: Use Trigonometric substitution to compute:

A:

Q: dx (x² + 9)² 5.

A:

Q: Use 2- step substitution St* sin (t5) cos(t5)dt

A:

Q: 2- Se2* sin x dx

A: ∫e2xsin(x)dxWe will use integration by parts: ∫fg'=fg-∫f'gf=sin(x),…

Q: 1? sec?( sec-x)dx x/x2 -1 3

A: By using substitution we can the given integral

Q: Evaluate dx using trigonometric substitution. V25- x2

A:

Q: Use the technique of trigonometric substitution to evaluate x2 dx 4 – x²

A:

Q: x sinxdx (Tic-Toc-Toe)

A:

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: 3x dx | sec 2

A:

Q: 18. f (x+9)dx x²+6x+25

A:

Q: (ii) sec2 (x) dx

A:

Q: dx 8) x*Vx² +1

A:

Q: (x² sin(x')dx = 3 %3D

A: Given : Integration of X2sin(X3)dx