Show that 6. 6 dx = x7/6 -x5/6 + 2– 6x1/6 + 6 tan(x/6)+ 1+ Vx

Q: Evaluate the integral. x³ + 4 - dx (x + 4) (x + 3)

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Q: sec 3x tan² 3x dx

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Q: Find the integral

A: Integrate∫3xx−2dx

Q: Evaluate the integral. |cos 7x cos 3x dx

A: The given integral ∫cos7xcos3xdx.

Q: Find integral.

A: Given: Let I=∫2x cos x2 dx To Find: To evaluate the given integration.

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: find the integral of tan5x dx

A: We want to evaluate the following integral,

Q: +1 dx. (x+3:2-5)3

A: To evaluate  ∫x2+1x3+3x-53dx

Q: 3 2 dx . 3

A:

Q: Integrate cos2x/sin^2(2x+8) dx

A:

Q: Evaluate the integral f sin²(3x) cos (3x) dx.

A: The given integral is ∫sin23xcos53xdx. We have to evaluate the given integral.

Q: 3 dx 1 4x – x2 – 3

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Q: Compute d/dx  sin-1 (x/x+1)

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Q: + 4x – 2) dx -1

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Q: the integral of sin5(2x)cos4(2x)dx

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Q: Find integral.

A: We have to find the integral I=∫cos(5x) dx

Q: Find the integral ∫2x2 / x+1 / dx.

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Q: 2 dx =

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Q: Evaluate the integral. 1 -dx (x + 8)(x² + 9)

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Q: Evaluate the integral. 4 x - 3 dx X 1

A: Given:

Q: Evaluate the integral: / (3x+5)dx x²+2x+1

A: ..............(1)

Q: Find integral.

A: We have to find the integral: ∫tan 7x dx We know the integration formula, ∫tan x dx=lnsec x+C∫tan ax…

Q: Find integral.

A:

Q: Solve: The integral of (sec(x))^3 dx.

A:

Q: calculate the integral.

A: Given integral is WE will use following substitution to evaluate the integral.

Q: Evaluate the integral. 1/2 2 - 4x + 1 dx x² – 3x +2

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Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

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Q: Find the indefinite integral.

A:

Q: Evaluate the integral. 7x - 6 -dx (x+4)(x² + 1)

A: We have to find solution

Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: Evaluate the integral. ∫ Cos2 x Sin2x dx

A: Given :           ∫cos2x sin2x dx

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

A: ∫ax+bn dx=1aax+bn+1n+1+C

Q: Evaluate the integral  6 / x^(-1)+3  dx

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Q: (x-1)* dx

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Q: 6x dx (x³+1)*

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Q: 3x dx x +x-6 2

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Q: Find the integral [(3x² – x) In(3x)dx .

A: Given query is to solve the integral.

Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

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Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: Evaluate integral 0 to 3 (x 3 -6x) dx

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Q: Solve the integral. 1 -dx 6. 3x2 + 2x + 1

A: Here, fx=13x2+2x+1

Q: Calculate the integral (sec(x)+ tan(x))² dx.

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Q: Evaluate the integral. (7x + 2) dx x2 + 4

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Q: Find the integral 15 x+3 √1-x² dx

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Q: Evaluate the integral ( sin(In(2+2x)) x+1 dx

A: Given: ∫sinln2+2xx+1dx

Q: Evaluate the integral. 3x dx 3* +4

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Q: Evaluate the integral. S39 sec -2x tan 3x dx |39 sec - 2x tan 3x dx =O

A: Given query is to find the Integral.

Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

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Q: calculate the integral.

A: