discuss whether the following integral is right or wrong? |(tan-(x))°dx = x(tan-"(x))* – x + (1 + x²)tan-'x +c %3D

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

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

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos' (0) sin(0) dO

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Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: Find the indefinite integral.

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

Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: Evaluate the integral if it converges ∫ from 0 to infinity e^-x cos(4x)dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: 1 * dx 1+ sin x + cos x

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Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

Q: Calculate the indefinite integral x²sin(x)dx Show your calculations.

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Q: Evaluate the integral.  integral sin 3  x cos 5x dx

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Q: 2) S cos? x sin3 x dx

A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

Q: Evaluate the indefinite integral  (integral) x ln(x2) dx

A: Explanation of the solution is given below...

Q: .3 |x? sin(x + 4) dx x² sin(x

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: cos xdx sin x

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Q: Find the indefinite integral ∫cosh2 (x − 1) sinh(x − 1) dx

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Q: 62-a2 x dx = cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2…

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Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

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Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: Find the indefinite integral. ∫(x3 sin x)dx

A: Solution -  Given Integral -  y = ∫x3sinxdxIntegrating by parts, the formula is - ∫uvdx =…

Q: Use a table of integrals to find the indefinite integral ∫ x /(1 − sec x2) dx

A: Given: ∫x1-secx2dx

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration. sin(2x) sin(cos(2x)) dx

A: To evluate: I=∫sin(2x) sin(cos(2x)) dx...(1)

Q: find the general indefinite integrals integral of pi sinx cos3x dx

A: Consider the given function as πsinxcos3x. We have to find the general indefinite integral of…

Q: sin(8x) + cos(7x) dx COS Зх — 5 sin dx 2

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Q: Evaluate the definite integral. Enter exact values. 2 cot -1(x) dx 1+ x2 1

A: Here we have to evaluate definite integral .

Q: 2. The indefinite integral sin 0 cos 0 de can be evaluated in multiple ways: (a) Evaluate the…

A: The solution are next step..

Q: 2. The indefinite integral /s in 0 cos 0 de can be evaluated in multiple ways: (a) Evaluate the…

A: Ad per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: Find the indefinite integral. ∫ (2 csc2 x − 9 sin x) dX

A: Consider the integrals, ∫2csc2x-9sinxdx

Q: Find the general indefinite integral

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Q: (10) Find the indefinite integral .csc². -dt cot x sec x tan x sec x -1 1 (S- dx (1+ x' 1/3 + 2e* +1…

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Q: Find the indefinite integral (2 sec x tan x +9 sec? x) dx. |(2 sec x tan x +9 sec? x) dx =

A: Integration appling rule constent cofficenat.

Q: 1. Evaluate the integral using the Table of Integrals on Reference Pages 6 – 10. Sx'sin"(x*)&x (…

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Q: Find the indefinite integral using any method ∫cos x ln(sin x) dx

A: Given, ∫cos(x)ln(sin(x))dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin (5x) J1+ (cos (52))…

A: Here we have to evaluate I=∫sin(5x)1+(cos(5x))2dx

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

A:

Q: 3. Use properties of definite integrals and appropriate formulas from geometry to evaluate the…

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Q: Find the indefinite integral ∫(tan x)[ln(cos x)]     dx

A: Given ∫tanxlncosxdx

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

A:

Q: Evaluate the indefinite integral 4(1 + tan(t)) sec2(t) dt Note: Any arbitrary constants used must be…

A: We need to calculate the integral: I=∫41+ tan t5 sec2t dt This integral can be evaluated as follows:

Q: Find the general indefinite integral.

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Q: Evaluate the indefinite integral sin5 s cos sds %3D

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Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(6x) sin(cos(6x)) dx

A: In this question we have to evaluate the integral.