Evaluate the indefinite integral. tan(5x + 8)dx

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Evaluate the definite integral. (Assume a > 0.) 'al/5 x°Va? - x10 dx

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Q: Find the indefinite integral.

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Q: Find the indefinite integral.

A: To find, ∫8x cos2x dx We use the following formulae ∫c f(x) dx=c∫f(x) dx∫xn dx=xn+1n+1∫cos(ax) dx…

Q: Evaluate the indefinite integral ∫ e 14x- 7 dx

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Q: Evaluate the indefinite integral. 11 + x°dx + C

A: The given integral is ∫x511+x6dx

Q: Evaluate the indefinite integral -dx x6 + 1 + C

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Q: Find the indefinite integral.

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Q: e*dx 1+e

A: Given integral,

Q: Find the indefinite integral ∫ e5x−3 dx

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Q: Evaluate the following indefinite integrals a) ∫(cosx/sin2x) dx b) ∫e2x-1 dx

A: Part a,          ∫cosxsin2xdx

Q: Find the indefinite integral. + 10x – 6) dx = +C.

A: We have to evaluate the  given indefinite integral.

Q: Find the indefinite integral ∫x cos 2 x2 dx

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Q: -13 dx 2. So 3 ((1+2x)2

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Q: dx 1 sin xcot;x

A: We need to evaluate the indefinite integral ∫dxsin12x cot12x Now, we will use the fact that cot…

Q: Evaluate the following indefinite integral. Do not include +C in the answer. 3 dx

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Q: Find the indefinite integral.  (7-e^x)/e^3x dx

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Q: Find the indefinite integral. X COS 10nx2 dx

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Q: Find the following indefinite integral. +2e -0.1x dx

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Q: S cos(3=)dz

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Q: Find the indefinite integral.

A: Formulae used: aman=am-n1an=a-nddxex=ex∫xndx=xn+1n+1+C

Q: Evaluate the indefinite integral 5e^5x*sin(e^5x) *dx

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Q: . Evaluate the definite integral: Jo 1+ e2x ex dx.

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Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: Find the indefinite integral. x' + dx +C.

A: Integrate

Q: Find the indefinite integral. 1 dx = +C. x +

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Q: Find the indefinite integral.

A: Our Aim is to find the indefinite integral given below:-∫e-x tan (e-x) dx  -(i)

Q: Evaluate the integral.

A:

Q: Evaluate the integral e^2x sin(4x)dx from 0 to pi.

A: Use integration byparts again and again you will get again an integration in the form of I ...as I…

Q: Find the indefinite integral. 1 - e2x dx

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Q: Evaluate the following indefinite integral. 3 dx +C

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Q: 2 x sin xdx

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Q: 2te dx

A: Indefinite integral

Q: Evaluate the indefinite integral.

A: To integrate

Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: TT sinx sin 2x dx 2 cos x

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Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: sin 2x dx .2. 1 + cos?x

A: Given, ∫sin2x1+cos2xdx   We have to evaluate the indefinite integral

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Evaluate the definite integral. 6. -x e dx eX + 5

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Q: Evaluate the indefinite integral.

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Q: Evaluate the indefinite integral. 5e5z sin(e") dr

A: Given,  ∫  5e5x sine5xdx

Q: Find the indefinite integral. 17 dx +C

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Q: Evaluate the indefinite integral. e dx

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Q: Evaluate the definite integral: 1 dx 2. x· COS

A: Solution

Q: Evaluate the definite integral integral from 0 to square root of pi  xcos(x2)dx

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Q: 34. cos(m/x) dx

A: