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

Q: ſla(Ji + s)dt 1.

A:

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Given the integral sec (x - 1) tanª (x - 1)dx, which of the following equations will be useful for…

A:

Q: Find the trigonometric integral.

A: Use the trigonometric identity as follows:

Q: Compute the indefinite integral. sin? COS T

A: YOUR ANSWER IS INCORRECT

Q: Evaluate (sin z + cos x) da using by term by term integration 0. Answer:

A:

Q: After choosing the appropriate trigonometric substitution the integral 4 x² dx, becomes 4 cos (0)de…

A:

Q: Simplify the integral 1 dx using an appropriate trigonometric substitution. Va2 +4 Cos e do de sec 0…

A: Hence option (e) is correct.

Q: use the method for odd powers to evaluate the integral.

A:

Q: Evaluate the definite integral | 8 sin(æ)dæ

A:

Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

A:

Q: S= The integral dx can be transformed to which of the following when trigonometric substitution is…

A:

Q: 12 Which expression represents the trapezoidal approximation T3 to the integral sin (V7) dx?

A:

Q: Evaluate the following integral. .. sin 2x dx sin 2x dx =O (Type an exact answer, using radicals as…

A:

Q: Evaluate the integral. | æ sin(9r) dæ + C

A: Given,  ∫  x sin(9x)dx

Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

A:

Q: find an appropriate trigonometric substitution of the form x=f(t)x=f(t) to simplify the integral…

A: Here, we use the substitution x=(sect)^2, as we know sec^2t=1+tan^2t, so x^2-1=tan^2t

Q: * Which of the following integrals will yield an inverse trigonometric function? ydy A 25+y2 B) none…

A: In option (A), If we substitute 25+y2=t2⇒ydy=tdt, then the numerator will be replaced by tdt and…

Q: After choosing the appropriate trigonometric substitution the integral 4 x dx, becomes

A: Apply trigonometry property and solve it

Q: Evaluate the indefinite integral sin Væ dx. Answer:

A:

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: Using substitution with u= sin(2x), the definite integral | 4 sin³(2x)cos(2x)dx is equivalent to (A…

A: The given integral is ∫0π4sin32xcos2xdx.

Q: Evaluate the definite integral. Tt/14 cos(7x) sin(sin(7x)) dx

A: to find:- definite integral.

Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to 1 1…

A:

Q: cos e d0 Jo 1+sin? A 2

A:

Q: Obtein MacLawrin sevies for {(x)= Sin ca).

A:

Q: Evaluate the definite integral.

A: Given:∫sin2x dxFormula:sin2x=1-cos2x2

Q: Use the given substitution to evaluate the integral

A:

Q: The integral B D x dx can be transformed to which of the following using trigonometric substitution?…

A:

Q: In the given question as folows , use trigonometric substitution to find or evaluate the integral :-…

A:

Q: Can i get help step by step with this problem?

A: Given integral is

Q: Evaluate the following definite integrals sin 2x cos (sin x) dx

A: We know that2sinx cosx=sin2x

Q: 2х + 1 -dx. NOTE: In (M²) = Pln M х? + 1

A: To determine:

Q: Find the following definite integrals. sin a dr

A:

Q: dz 3x2 +8

A:

Q: Given SV-x* + 4x + 5 dx. Using trigonometric substitution, what is the integral form in terms of 8?…

A: Trigonometric identities: sin2θ+cos2θ=1cos2θ=1+cos2θ2 If an expression is x2+bx, then we need to add…

Q: The integral O x dx can be transformed to which of the following using trigonometric substitution?…

A:

Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to ...…

A: Use substitution

Q: Using substitution with u = sin(2z), the definite integral si "sin®(2x) cos(2r) dr is equivalent:…

A:

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: Evaluate the integral: sin(3x)cos(3 A - B C D H|ო 3 16 +16 dx

A:

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B…

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha…

Q: After choosing the appropriate trigonometric substitution the integral | x2 - dx, becomes

A:

Q: Evaluate the integral. 3 sin-x dx +C %3D

A:

Q: Evaluate the following integral: ∫(cos⁡?)^5 dx    Pie/2 uppper  0 lower Where: sin(pie/2)=cos(0)=1,…

A:

Q: Evaluate the indefinite integral sinr cos rdr 3 + C

A:

Q: Use the substitution u = tan x to evaluate dx 1+ sin? x Hint: Show that dx du 1+ sin? x 1+ 2u2

A: Given that: The integral is ∫ dx1+sin2x

Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da.…

A:

Q: (7) Evaluate the definite integral. | sin?t cos tdt

A: