dx (Integration by Trigonometric Substitution)

Q: sinhx dx=.. ...+ C Select one: coshx, coshx O cosh x-2- (1-cosh?x) (cosh2x-1) 3. cosh x cosh5x X. O…

A: Given: ∫sinh5xdx

Q: Using integration by parts, evaluate the integral: ∫cos-1(x)dx

A: Integration:   The collection of all antiderivatives of f is called the Indefinite integral of f…

Q: II. Perform the integration. 2 1. Csc" x cot xy csc x 1 dx - 6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: cose Evaluate the integral: de. 4- sin2e

A: Follow the procedure given below.

Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) | I3D

A: Using trigometric identities

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: dx 17. S√4e-2x-25

A: Given integral: ∫dx4e-2x-25.We need to evaluate the integral.

Q: 1 dx x/1+ x6

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Q: Integration by Trigonometric Subsituion 10.) x² Arcsin C) dx

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Q: dy - x = x2 siny dx 3 -2 =-(-siny +cosy + Ce-y/?)*? ANSWER: x = + cosy + Ce

A: We will find out the required solution. Kindly note that there is misprints in question which has…

Q: Integration by Parts 1. L, Cos-1 x dx

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

Q: sinx dx Use the method of integration by j Use the method of integration by dt Give the exact…

A: The integration by parts method is  ∫u v dx=u∫vdx -∫dudx∫vdxdx.

Q: sin 2x dx 1+ sin “ x SI

A:

Q: sinx I. dx by using suitable substitution. cosx+5cosx+6 Sx5ex* dx I. S sin²xcos*xdx I.

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Q: sin(2t)dt

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Q: dx 17. S V4e-2x-25 -2x –25

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Q: tan-x is dx using integration by parts Find x2

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Q: sin x dxdy

A: see below the calculation and answer below

Q: sin x dx coos x 6.

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Q: 75. Evaluate | (sin-x)? dx. Hint: Use Integration by Parts first and then substitution.

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Q: trigonometric substitution 2 X (9-x² -dx

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Q: sina+sinatan² dx a sinx 2. ·S

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Q: tan ydy (1+ln(cosy))3/2

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Q: dx V6+x-x²

A: We need to integrate using trigonometric substitution:

Q: Vx²-25 dx (Integration using Trigonometric Substitution)

A: Trigonometric substitution

Q: Calculate the definite integral. 8 dx dx = (Simplify your answer.)

A: The objective of the question is to calculate the definite integral.

Q: dx Half-angle Substitution cos x +sin x-1

A:

Q: II. Perform the integration. 2 1. csc- x cot xVcsc x – 1 dx 6

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Q: . Calc.   Test for exactness then solve. (2xy - sinx)dx + (x2 - cosy)dy =0

A: Differential equation

Q: dx i-Sin X

A: Given integral is ∫π4π311-sinxdx

Q: ☺ Evaluate Sin? (2x) Cos³(2x) d

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Q: c) tan³ x sec³x dx 3

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Q: sin(3t)dt

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Q: 5. (2y- 3x)dx + xdy = 0

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Q: cos* (cos x) COS. dx CSc x

A: Given  ∫cos4cosxcscx dx

Q: e sec(x+1)+ tan²(x)csc(x) dx

A: Integral ∫esecx+1 tan2x cosecx dx To evaluate given integral

Q: dx 4 sinx-3 cosx

A: Given integration is  I=∫dx4sin x-3cos x   Here integrant is  fx=14sin x-3cos x The trigonometric…

Q: cos x v9 + 25 sin² x dx

A: Using trigonometric substitution

Q: sin x dx - 1 + x? 22.

A:

Q: Integration by parts. cos?x – dx sin4x

A: Given:        ∫cos2xsin4xdx Rewrite/simplify using trigonometric/hyperbolic identities: we know that…

Q: Sin(Xta)dx Sm (xtb)

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Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the hypotenuse side is equal to?

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Q: ∫ln a/x sin^-1x dx

A: Given,           I=∫ln(ax).sin-1(x) dx To solve this integration we apply integration by parts…

Q: Ql. Integrate using Trigonometric Substitution.

A: Let I = ∫x2-1x2 dx By using Trigonometric substitution, x = sec t ⇒ tan t = x2-1  dx = sec x tan x…

Q: 33. h(x) = sinh(x²) %3D

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Q: Complete Solution: What is d/dx sin x ?

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Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the adjacent side is equal to?

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Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

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