Make a trigonometric substitution to evaluate / x V25 – x² dx

Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. %3D Explain graphically.

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Q: Determine whether the improper conrergent divergent. or It sin (x) 8. x²+1 dx

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Q: sin° (3x) cos“ (3x)dx 4

A: The given integral is ∫sin53xcos43xdx.

Q: 1+x² -dx

A:

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫sin 3x dx, u = 3x

A: Now put

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

A: By applying  trigonometric substitution

Q: X cos(2x) dx Jo

A: topic - definite integral

Q: Evaluate using TrigonometriC substitution. dx 4. S (3+x+V6x)(3+x-V6x)

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Q: make the given substitutions to evaluate the indefiniteintegrals. dx/ √(5x + 8)

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. 9+x…

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Q: x3 V4 + x2 dx

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Q: 1 dx 3vx

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Q: x*dx (x² + 4)2

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

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Q: Use symmetry to evaluate the followingintegrals.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find dy it =x'+ sinxy 1.

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

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

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Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

Q: if Pen) = Sinh(nw) find F(Z)=?

A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

Q: | cos (5x) cos (3x)dx

A: Given integral: ∫cos5xcos3xdx We know, cosαcosβ=12cosα+β+cosα-β. Also, ∫cosxdx=sinx+c.

Q: (3X dx =? Sinmply

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Q: make the given substitutions to evaluate the indefiniteintegrals. ∫√x sin2 (x3/2 - 1) dx, u = x3/2 -…

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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: Integrate x sqrt of (x+4) dx using algebraic substitution

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

A: put x= sin t for trigonometric substitution.

Q: sec2 X dx 3

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Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

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Q: 3/8 x sinx dx 5+x° 18

A: using the concept of even and odd function we calculate the above integral

Q: find integral  sqrt ( x2 - 9 )dx

A: Given: I=∫x2-9dx we know that ∫x2-a2dx=x2x2-a2-a22lnx+x2-a2+c                                ..1

Q: 1-x² dx

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Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: Find the antiderivative of sin(square root of 5x)

A: Consider the given function:

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

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Q: dx Evaluate

A: ∫0919+x2dx

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

A: To evaluate: I=∫4xx2+9dx

Q: dx Vsinxcos3x

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Q: Use Trigonometric substitution to compute:

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Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

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Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: Find the trigonometric integral ∫sec4(x/2 ) dx

A: To evaluate the trigonometric integral , ∫sec4x2dx Solution: Put x2=t in the given integral we get,…

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

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Q: Find z2 sin z dz

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Q: Find integral 2  to 5    1/ sqrt  (x -2 ) dx

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Q: Differentiate each of the f cosh(x)+1 cos(r)+1 a. Y =

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Q: Evaluate S y³ dy √y² – 1 - by trigonometric substitution.

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Q: make the given substitutions to evaluate the indefiniteintegrals. ∫x sin (2x2) dx, u = 2x2

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Q: Find f(x). f(x) = V ?(4x) 10x-sin %3D

A: To find the derivative of the given function we use chain rule of the differentiation and some basic…

Q: dx 8) x*Vx² +1

A:

Q: (x² sin(x')dx = 3 %3D

A: Given : Integration of X2sin(X3)dx

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.