sec"- 2 x tan x , п- + sec" x dx sec"-2 x dx п — 1 n -

Q: Use integration by parts to find the indefinite integral.

A: To find the indefinite integral I =∫xsec2x dx By using integration by parts, ∫fg'=fg-∫f'gf = x ,…

Q: Use integration by parts to solve for J x secx tanx dx.

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Q: fx sin(5x)dx

A: use integration by parts take

Q: sin 0 -do 4+cos 0 Evaluate

A: Since 4+cosθ is never zero in 0 to 2π as -1≤cosθ≤1. So, 3≤4+cosθ≤5 So, sinθ4+cosθ is analytic in 0…

Q: Evaluate the integration 2.5 o cos(x) with h=0.5 by using 3/8 Simpson Rule. Write your answer in 4…

A: The Simpson's 3/8 rule states,∫ydx=3h8y0+2y3+y6+ . . . + yn-3+3y1+y2+y4+y5+ . . . +yn-2+yn-1+ynWe…

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: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

Q: Use integration by parts to show that, for n > 2, 1 cos a sin"-1 n 1 sin"-2 xdx. n - sin" xdx = x +…

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Q: To evaluate the integral |(2x+1)tan Vx dx using Integration by Parts, we should choose

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Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s…

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Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

Q: 4. sin 4x cos 3x sin 2x tan 3z dx

A: Given, I=∫sin4xcos3xsin2xtan3zdx I=tan3z∫sin4xcos3xsin2xdx now solve this integration we know,…

Q: Evaluate the integral.  integral  sec 2 x  tan  3 x  dx

A: Consider the following integral:

Q: Use integration by parts to establish the reduction formula: Jx" cos x dx = x" sin x – n x"-1 sin x…

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Q: Show that sec x = (sin x / cos x) + (cos x / 1 + sin x), then use the identity to drive the basic…

A: (i)…

Q: Use integration by parts to prove the reductionformula.

A: Consider the following integration by parts formula: ∫uvdx=u∫vdx-∫dudx∫vdxdx ILATE Rule: We have two…

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 integral. (Use C for the constant of integration.) | 2 tan (x) sec®(x) dx C must be in…

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Q: Use Integration by Substitution to find sin(x²) 2x dx

A: As per our guidelines we are supposed to answer only 1 question. Please repost other questions as…

Q: Please determine the approximate integration using excel. ⌠13 (e0.5x + sin2x)dx, use n=4

A: Let,I=∫13e0.5x+sin2xdxI=e0.5x0.5+-cos2x2+CI=2e0.5x-cos2x2+C

Q: Use reduction formulas to evaluate the integrals ∫ 2 sec3 πx dx

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: What are the new limits of integration if apply the substitution u = 5x + n to the integral sin (5x…

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Q: ( 5tanx sec'x dx .2,

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Q: The indefinite integral [ 4cotx dx is sinx 4 +C sinx А. В. -4tanx secx +C 4 +C sinx С. D. 4tanx…

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

A: Given: I=∫sec2x2tanx2dx

Q: 3 dx V16-x²

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Q: Use integration by parts to evaluate the integral. (7) [x sec x tan x dx

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Q: 9. S sec³ x tan x dx

A: Given ∫sec3xtanxdx We know that  ∫secx.tanx=secx + c ∫xndx=xn+1n+1+c

Q: Evaluate the integral. (Use C for the constant of integration.) ] = 5 tan(x) sec³(x) dx

A: The given integration is: ∫5tanxsec3xdx To find the value of integration.

Q: sec? (4x)(3 – tan(4x))³dx

A: Given integral is,  ∫sec24x3-tan4x3dx. Substitute t=3-tan4x.…

Q: use integration by parts to write the integral sec^7 (3x) dx in terms of integral sec^5 (3x) dx

A: ∫sec7(3x)dxPut 3x=uso 3dx=du=13∫sec7uduNow ∫sec7udu=∫sec5usec2udu

Q: If I, = [4t 1 applying the technique of successive tan" x dx , show that I, +I,2 п-2 n-1…

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Q: Use integration by parts to prove the reductionformula.

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Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n/…

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Q: Perform the integration. TT 3 sec³x tan x dx 2 + sec x 0

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Q: Evaluate the integral. (Use C for the constant of integration.) 8 tan(x) sec³(x) dx

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Q: Match the integral expression on the left to an equal expression on the right. Ssin(3x)sin(4x)dx -…

A: Let's find.

Q: Use integration by parts to verify the reduction formula.

A: We have to verify the reduction formula using integration by parts: ∫sinn x dx=-sinn-1 x cos…

Q: q² In(x³ + 1) dx

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Q: Use integration by parts to evaluate the definite integral. e2x sin x dx

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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

A: Consider the integral: I=∫sec42x5dx……1

Q: What are the new limits of integration if apply the substitution u = 4x + t to the integral / sin…

A: We have to change the limit.

Q: sin(5x)dx X sin

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Q: Use integration by parts to evaluate (2x + 1)e2-1dx.

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Q: 3. Use integration by parts to evaluate (x²+x+1) sin(r) dr.

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Q: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…

A: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…

Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n /…

A: This question is about application of integration

Q: By using trapezoidal rule for integration find J=Jo' sin' (1/x) dx. n-12

A: The given function is: J=∫07sin31xdx, n=12