The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x). In the numerator, using Pythagorean identities In both the numerator and denominator, using Pythagorean identities In both the numerator and denominator, using the sin(x)/cos(x) identity None of the above.

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: Compute the indefinite integral, and demonstrate that your solution works by differentiating:…

A: Since you have asked multiple question As per our policy , we will solve the first question for you.…

Q: Find the indefinite integral ∫tan6 3x dx

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Q: Find the indefinite integral (tan -1æ}? dx. 1+ x2

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Q: Find the indefinite integral ∫sin2 3x dx (a) using a table of integrals and (b) using the…

A: Given

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

A:

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 indefinite integral. -1 tan (5x)dx

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Q: Evaluate the improper integral or show that it diverges. 16 tan-1 x dx 1+x² | 0.

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Q: Evaluate the definite integral from 0 to pi cos(299x)sin(301x) dp

A: Evaluate the integral∫0πcos299xsin301x dx

Q: Evaluate the integral.  integral sin 9  x cos 3x dx

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Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

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Q: Find the indefinite integral ∫tan3 3x dx

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Q: Evaluate the integral -4 sin(5x) sin(2x) dx

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Q: Find the indefinite integral and check the result by differentiation.

A: We have to calculate; I=∫5cosx + 4sinxdx

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

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Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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Q: Find the indefinite integral. ∫(sec 2x + tan 2x) dx

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Q: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

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Q: Use the formula sin (x) dæ sin(2x) + C 4 and the reduction formula 1 -cos(x) sin"-'(x)+ n – 1 n-2…

A: the given integral,∫sin4(x)dx

Q: Evaluate the indefinite integral. ∫sin5(x)cos4(x)dx

A: Integrate the given indefinite integral as follows.Consider the expression sin5(x)cos4(x).The above…

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: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: 2. Use reduction formula to evaluate the integral: sin xdx.

A: We have to evaluate integral by using reduction formula.

Q: Evaluate the integral. sin(5.x) sin(4x) dx

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Q: The definite integral sin24x cos2x dx is equivalent to x/2 (A -sin²0 cos²0 d0 2 x/2 В 2sin20 cos40…

A:

Q: Evaluate the integral (exact value). 5n +1 eX sin(5x) dx = 2

A:

Q: Find the indefinite integral

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

Q: Find the indefinite integral

A:

Q: Find the indefinite integral. S-x² + sin x – 3* dx | In |x| – - 3* + C COS X - 3 In 3

A: detailed solution is given below

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: Evaluate the integral.  integral sin 9  x cos 5x dx

A: Given :           ∫ sin9 xcos5 xdx

Q: Evaluate the integral ∫(sin-1(x/5))2/√(25-x2) dx

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

Q: Find the indefinite integral by using the substitution x = 8 tan(0). (Use C for the constant of…

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Q: The first step to solve the integral of (sin x)^4*(cos x)^3 dx is transform the problem by using…

A: The given integral can be solved using u integration.

Q: Evaluate the definite integral. (1/10 sin-1(5x) dx 1 - 25x2

A:

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

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

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

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Q: evaluate the definite integral.

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Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

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Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) a.…

A: Pythagorean identities involving tan x is given by,   tan(2x) = 2tan(x)1-tan2(x) and integral of…

Q: Use a table of integrals to find the indefinite integral ∫ θ3 /(1 + sin θ4) dθ

A: To Determine: use a table of integrals to find the indefinite integral Given: we have ∫x31+sinx4dx…

Q: S sin(2x) dx

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Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos…

A:

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

A: Given integral, ∫sec53x tan3x dx

Q: (sin-l x)² dx V1-x²

A:

Q: Find the general indefinite integral. Illustrate by graph -ing several members of the family on the…

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Q: Evaluate the ff integrals. (Involving exponential and logarithmic functions)

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Q: Find the indefinite integral  ∫sin3 x cos2 x dx

A: We have to find the indefinite integral ∫sin3 x cos2 x dx