3x+sinx-3 tan x -) Given g(x) = ln- calculate g'(x). %3D 3x4-Vx

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: cos-1 3x dx 3 – 1 – 9x2 * tan-1x dx 1+ x2 4 - n/2 5 –

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Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: Differentiate the function. y= ln(x3 sin2 x)

A: First, we simplify the given function using the multiplication and power rule of logarithm.

Q: sin3x dx 1+cos3x х dx x+4

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Q: Evaluate S sinh x cosh x dx by introducing u-sinh x

A: Given that: ∫sinhx.coshx.dx

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Q: Solve using implicit differentiation.    y cos x = x2 - y2

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Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: Find [(x- sin(2x)) dx

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: 4. X sin (x) dx VI-X 1-メ-

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

Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Integrate (sin1/2)(x)dx

A: The given integral is ,∫sin12x dx=∫sinx2  dx

Q: 3. dx (sinh(2xV1+x du

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Q: cos x- sin dx 1- sin 2x

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Q: 3- Sin4x dx S 3-Sin4x dx ノo

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Q: 4 sin-lx dx X.

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Q: sinh(9x) If g(x) : 8 + cosh(9x) find g' (x) 8+ cosh(0)

A: Following formulae are used to solve first question

Q: 6. S sin² x csc² 2 x dx

A: We have to solve

Q: Evaluate x sin (5x)dx x sin (5x)dx=

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

Q: integral of tan3xsec^4(3x) dx

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Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: Find /e2x sin(2x)dx

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Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: find integral sin 5 x  cos 2  x dx

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Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: [sinh(x)(x² + 7*)] dx a.

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: 2 dx tan x(5+ln sin x)

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Q: Differentiate the function y=ln(x5 sin2 x)

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Q: S sin-1 3x dx

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Q: ∫√1 - sin^2 x dx

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Q: 1- 1- (Sin (coshx) sinhx dx

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Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 1 Evaluate /- dx sin(ln x)

A: We have to evaluate the integration: ∫1x sinlnxdx Here we will use substitution method since…

Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: [17 sin³ x costx dx 5.

A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: Evaluate sin (4x) cos -2(4x) dx. | sin (4x) cos -2(4x) dx = O

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Q: x² sin 2x dx¸ Use integration by parts.

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Q: 1- S 9-4x2 dx 2 - x tan- x dx

A: 1.Given integral,               ∫9-x2xdx

Q: dy/dx for (ln(tan(2x)-sqrt(3+e^2x) / (pi(x)^3-cos^2(-5x))

A: Given,     y  =  ln(tan2x)-3+e2xπx3-cos2(-5x)

Q: |sin x.cos x %3D 1+ 2.ln x

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Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

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Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

Q: 5x cos dx 2 x3 cos 9x dx X' COS

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Q: SVx² + 10x + 25 dx. (cos4*x – sin4*x)dx dx

A: