Integrate using trigonometric substitution

Q: хах (V16-x2)

A: Explained below

Q: Explain sine law and cosine law.

A: to explain about the sine and cosine law

Q: Use a trigonometric substitution to evaluate (x+3)' -dx. (7-6x-x*)"2

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Q: one 0° do 143. V9 – 02

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

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Q: Use trigonometric substitution to find 23 dx Vx+8

A: To find, I=∫x3x2+8dx Substitute        x=8tanθ⇒dx=8sec2θ dθ

Q: Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

A: Topic = integration

Q: sin y

A: Pythagoras theorem: In a right angle triangle, Hypotenuse2=Base2+Perpendicular2 According to the…

Q: 3. fsin (3x) cos(x + 1)dx

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Q: 1 dx 3vx

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Q: Use trigonometric substitution to find -dx 1+16x²

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Q: 3 (9-b²)ž By Trigonometric Substitution: S db b6

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Q: What is tan

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Q: Simplify secA (1-sinA)(secA+tanA)

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Q: sec I dr = %3D tan I

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Q: (4x +4K H0)?

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Q: cegrate by trigonometric substitution: dt (4x² +9)**

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Q: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: The dx can only be evaluated using trigonometric substitution technique. A True False

A:

Q: %3D or False: If y=lne, then y'= 1? Explain

A: y=ln(e) => y = 1

Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

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Q: Integrate using trigonometric substitution

A: The given integral is

Q: 3. sin" X cos X ax

A:

Q: 3. sin' X cos X ax

A: 1.) cos(2x)= 1-2sin2(x) 2.) cos(2x)= 2cos2(x)-1

Q: sInx sint de 2.

A: Indefinite Integration

Q: 1 sinx+cosx+1 -dx

A:

Q: Using trigonometric substitutions, S 16 xV16- X 1S equal to:

A:

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

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Q: Vx2 – 4 dx

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Q: dx 7. J x3 Vx2-4

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Q: 9-1 -dy

A:

Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: CoSe Zane Sine

A: We will solve the following.

Q: Mutiply    (1 -cosec theta ) ( 1 + cosec  theta )

A: Here we have to multiplying  (1-cosecθ)(1+cosecθ)

Q: use trigonometric substitution to integrate

A: We have

Q: Define the term general sine function?

A: Given: Define the term general sine function?

Q: Use trigonometric substitution with clear and complete solution.

A:

Q: Use trigonometric substitution to evaluate COs x dx

A: The given question is taken from the indefinite integral in which we have to find the value of the…

Q: ble. =sin

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

Q: (16-92)%2 3/2

A: We will apply substitution then Integration by parts

Q: dx 5. f xV16– 9x2

A: Given,           ∫dxx16-9x2To find : Integrate using trigonometric substitution.

Q: 2. y +4 dy

A:

Q: Integrate x^3/sqrt(25-x^2) dx. use the substitution x=5sin(theta). Your final answer should not use…

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Q: 3dx xV4-x²

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Q: x² – 1 dx

A: Given: ∫x2-1x4dx To find: Use trigonometric substitution to integrate above function.

Q: S tan33x sec*3x dx

A: We need to evaluate the following.

Q: 3dx xV4-x?

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Q: se se Bisectio

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Q: 2./sec xtan?xdx

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.