(5) Find the indefinite integral (a)fVtan x sec'dx aun 2x sec' 2xdx sin x (c)) cos'x 1 cos-de

Q: Find the indefinite integral. ∫(5 cos x − 2 sec2 x) dx

A: We first separate the integrals then integrate.  C=integrating constant

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

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Q: Solve: The indefinite integral of the integrand (cos x/1+sin2 x) dx

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Q: 1. dx 5 dx (2x)* 3. 2.

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Q: 3. tan' x sec' xdx cos x 4. sin x Find the indefinite integral and check the result by…

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Q: Find the indefinite integral.

A: To find the indefinite integral: ∫5cosx - 2sec2xdx Solution: Evaluating the integral. ∫5cosx -…

Q: Find the indefinite integral. (Use C for the constant of integration.) secó 4x tan 4x dx

A: Use substitution tan(4x)=t

Q: What are the new limits of integration if apply the substitution u = 6x + n to the integral sin (6x…

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 tan 20 dx sec 20

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Q: |Calculate the indefinite integral / sec (0) tan(@)d0 using two different u-substitutions. Explain…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: According to trigonometric identities, we have: 1-cos2(x)=sin2(x)

Q: ntegral of  x^2 sin(4x^3)dx

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Use an indefinite integral to define a function F(x) having derivative e^cosx for all x and…

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Q: Find the indefinite integral ∫ 3√(tan x) sec2 x dx

A: ∫tanx3sec2x dx Now put tanx=t⇒sec2x=dtdx⇒sec2x  dx=dt

Q: Evaluate the indefinite integral: ∫ sec2 x tan4 x dx

A: Evaluate the indefinite integral. ∫sec2xtan4xdx Let tanx=tsec2xdx=dt

Q: Find the indefinite integral ∫tan3 x/2 sec2 x/2 dx

A: we have to find the value of indefinite integral  ∫tan3x2sec2x2dx let the given indefinite integral…

Q: Evaluate the indefinite integral. tan (x) sec2(x) dx = +C.

A: SOLUTION-

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: Find the indefinite integral ∫ (6 sec x tan x − 5 sec2 x) dx.

A: Given:  Let I=∫6 sec x tan x-5 sec2 xdx To Find: To evaluate the given integral.

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: In the indefinite Integral Sin(cosh x + ex). integrand? sinh x + ex cosh x + ex dx, what is the

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Q: Express lim {5(x;)* – 6 tan°(x;)}Ax, n-+00 definite integral over the interval [-3,2n]. as a

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Evaluate the indefinite integral. sec* (x)dx

A: We have to find the integral of sec^4(x)  Please see the explanation below

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: Find the indefinite integral ∫sec2 (x/2) tan (x/2) dx

A: Given: I=∫sec2x2tanx2dx

Q: (a) Evaluate the indefinite integral (anti-derivative) x°(1+ 2*)® dx by using the substitution u =…

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Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: Compute the fourth derivative of cos(x+1) - ln(x²+4) + x²²+1 with respect to x. Also, compute the…

A: Sol:- First part:- Fourth Derivative of given function:-…

Q: Find the indefinite integral for

A: The indefinite integral ∫-sinx+3cos-3xdx ∫(−sin(x)+3cos(3x))dx

Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- dx, what is the integrand?

A: Intergrand

Q: In the indefinite Integral Sin(cosh x + ex)- integrand? A In(cosh x + ex) B sinh x + ex In(cosh x +…

A: The given function whose integral is to be found is called the integrand.

Q: Find a particular function which is an indefinite integral for: (7x + sec(x) tan(x))dæ

A: Given that: ∫(7x+secx.tanx)dx

Q: Find the indefinite integral. (Use C for the constant of integration.) sec' 4x tan 4x dx

A: Topic- integration

Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: Determine the indefinite integral. sinh x dx J cosh x+6 sinh x dx = cosh x +6

A: Substitute the denominator with other variable and solve like normal integration. Here Sinhx &…

Q: Find the indefinite integral using the formulas from Theorem "Differentiation and Integration…

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan(8x) sec2(8x) dx

A: We need to evaluate the following integral I = ∫tan8x3sec28xdx…

Q: fe sec-xdx tanx

A: To Determine:

Q: What are the new limits of integration if apply the substitutior u = 6x + t to the integral sin (6x…

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Q: Find the indefinite integral. ∫sec x tan x/ (sec x − 1) dx

A: Given:∫secx tanxsecx-1 dx

Q: indefinite integral of x^2(sin(x)) dx.

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Q: 2) Find the indefinite integral : csc (x) dx csc (x) - sin (x)

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Q: Find indefinite integral COSX dx sinx

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Q: (21 -x' - 2x + 3)dx Vs 2 ds

A: We use power rule to find antiderivative .

Q: Find the indefinite integral. sec 3x tan 3x dx

A: Given integral, ∫sec53x tan3x dx

Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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Q: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

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Q: Find the indefinite integral using the formulas from Theorem "Differentiation and Integration…

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