Evaluate the indefinite integral 1 sec (x) tan(x) dx +C

Q: Evaluate the indefinite integral. x° cos (x) dx =

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Q: Evaluate the integral.  integral  2x sin  2 x x dx

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Q: Evaluate the definite integral.

A: We have to evaluate the integration ∫0π3sec32xtanxdx

Q: Find the indefinite integral.

A: I  = ∫x sin (3x2) dx          ut    3x2 = t                6x dx = dt              xdx = dt6

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

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Q: Evaluate the definite integral.

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Q: Evaluate the integral.  integral  sec  x  tan  4 x  dx

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Q: 1 * dx 1+ sin x + cos x

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Q: Evaluate the integral. ∫ tan3 x Sec x dx

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Q: Find the indefinite integral ∫tan3 3x dx

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Q: Evaluate the indefinite integral; f cos x sin x dx

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Q: Evaluate the indefinite integral. 4 tan°(x) sec*(x) dx

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Q: Evaluate the indefinite integral.

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

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Q: evaluate the indefinite integral.

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Q: Evaluate the indefinite integral. x6 + 5 sec² X dx = %3D

A: From the given problem:   I=∫x6+5sec2xdx   As we know that:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: Evaluate the indefinite integral: ∫sec x tan x dx

A: Given indefinite integral is ∫secxtanxdx

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: Then integrate with substitution

Q: Evaluate the indefinite integral: ∫ x2 sin(x3 + 1) dx

A: ∫x2sinx3+1dx

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: Evaluate the indefinite integral. tan (x) sec2(x) dx = +C.

A: SOLUTION-

Q: Evaluate the integral.

A: We have to evaluate the integral: ∫1-sinxcosxdx We will use following special integration formula:…

Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: Evaluate the indefinite integral.

A: Consider the given integral I=∫sec3x·tanx dx

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

Q: Find the indefinite integral. ∫(x3 sin x)dx

A: Solution -  Given Integral -  y = ∫x3sinxdxIntegrating by parts, the formula is - ∫uvdx =…

Q: Find the indefinite integral using the substitution x = 2 tan θ.

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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. x +8 -dx X +8 -dx (Use C as the arbitrary constant.)

A: Given,

Q: Find the indefinite integral

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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. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: Evaluate the indefinite integral. (tan- x) dx = || 1+x?

A: Given integral is ∫tan-1x51+x2dx

Q: Find the indefinite integral ∫ sin x/√cos x dx

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

A: Given: I=∫sec2x2tanx2dx

Q: Find the indefinite integral ∫tan5 (x/2) dx

A: It is given that, ∫tan5x2dx. We have to evaluate it.

Q: Evaluate the indefinite integral tan" (2x) dx

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

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

Q: Find the general indefinite integral

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Q: Find the indefinite integral ∫cosh √x / √x dx

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Q: Find the indefinite integral 1 + 3e* dx 2x x²

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Q: Evaluate the indefinite integral. x² A -dx 1- x6

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

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Q: Find the indefinite integral ∫(tan x)[ln(cos x)]     dx

A: Given ∫tanxlncosxdx

Q: Find the indefinite integral. ∫sec x tan x/ (sec x − 1) dx

A: Given:∫secx tanxsecx-1 dx

Q: Find the indefinite integral. tan“ X dx sec x

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Q: Evaluate the indefinite integral 4(1 + tan(t)) sec2(t) dt Note: Any arbitrary constants used must be…

A: We need to calculate the integral: I=∫41+ tan t5 sec2t dt This integral can be evaluated as follows:

Q: Find the indefinite integral of (x2-cos x) dx

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Q: Find the indefinite integral. J. x cos 107Tx2 dx

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