2 X (x-sinx)2 | 6x'sin² 2 3/2 - Evaluate: +3x dx. X, X-sinx

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

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A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

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A: topic - indefinite integral

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Q: Use the addition formulas to prove sinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

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Q: Integral of √1-sin2x/2

A: Integral: -The function F(x)is referred to as the anti-derivative or integral of the supplied…

Q: Integral from 0 to 2pi of sin(2x) dx

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A: we have to find definite integral of f(x) in [0,pi/2]

Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

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Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

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Q: Integrate √2 2 | sin x 2 √1-x² dx

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Q: FIN 2 dx

A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want 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: | sin 2x cos7x dx

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Q: solve for the intergral of (2sinx)/(1+cos^2x)dx

A: The integral to be evaluated is  ∫2 sinx1+cos2xdx. Here, we can use substitution method to evaluate…

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: Find sine half range for f(x) = \cos x for -1<x<1 COSX for < x < 0. f(x) { COSX for 0 < x < .

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Q: 3. J sin53x dx. 4. J tan 2x sec22x dx.

A: ∫ax+bn dx=1aax+bn+1n+1+C

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find.

Q: S tanx 1+ COS X JX

A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

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A: We use Trigonometry substitution method

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A: We evaluate  \int (sin^(5)x)/(cos^(2)x)dx

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Q: )Find the anti derivative for sin(x^2) 2x

A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

Q: Find the indefinite integral for

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

Q: Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

A: We use the following identity to solve question 1). cosh2x - sinh2x = 1

Q: Find sine half range for f(x) = \cos xl for -1<x<1 COSX for 7 < x < 0. f(x) for 0<x< 7. COSX

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

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Q: sin(2x) dx cos(2x)+5 2x dx V3x +1 4 sec2(2x) dx ! 3(1-tan 2x)

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

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Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

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Q: dx 2 sin x - cOS X |tan+ 2 + V5| In 5 tan; + 2– V5 |tan+2-V5 + C + 2+ V5 2. + C In Option 1 O Option…

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Q: 10. f cos*x sin x dx 11. (sec² 3x) dx / (tan 3x) 12. Setan 2x sec² 2x dx

A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

Q: calculate the integral.

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Q: cosh(In x) dx

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Q: 2 (In(sinx+V(sinx)²+1 ))´ d x (sinx)2

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Q: 3-sinx 6. f(x) = 1+ In(x3 — х)

A: Quotient rule of differentiation: Chain rule:   also

Q: difference between the methods necessary to integrate ∫sin2x dx and∫sin3x dx

A: Describe the difference between the methods necessary to integrate ∫sin2x dx and∫sin3x dx