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

Q: Find the indefinite integral by using the appropriate formula

A: Given: ∫cos4xdx   Formula used: cos2x=2cos2x-1   cos2x=1+cos2x2

Q: Use a table of integrals to find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: -cos² dx X' X

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Q: Evaluate the indefinite integral.

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

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Q: Use a table of integrals to find the indefinite integral.

A: To find: The integration of ∫e3x1+ex3dx. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C…

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 -dx x6 + 1 + C

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Q: Find the indefinite integral.

A: ∫x25-x3 dx Put, 5-x3=t⇒0-3x2=dtdx⇒-3x2 dx=dt⇒x2 dx=-dt3

Q: Find the indefinite integral ∫ 1/(e2x + e−2x) dx

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Q: e*dx 1+e

A: Given integral,

Q: Find the indefinite integral by using the appropriate formula'. ∫e2x cos 3x dx

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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 ∫x cos 2 x2 dx

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Q: Find the indefinite integral ∫ e5x (5) dx

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Q: Find the indefinite integral by using the appropriate formula   ∫ e−3x sin 4x dx

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

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Q: Evaluate the indefinite integral.

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Q: Find the indefinite integral ∫ e−x tan(e−x) dx

A: Given that, The integral, ∫e-xtan(e-x) dx. First, assume that u = e-x. du = -e-x dx - du = e-x dx…

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

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Q: Evaluate the indefinite integral below. 15 dx 1– sin?

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Q: : Find the following indefinite integrals.

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Q: Find the indefinite integral ∫cos4 x dx

A: Given- ∫cos4x dx To find- The value of the integral. Formula Used- Using the reduction formula, we…

Q: Find the indefinite integrals of the following functions. 2 sin(x) + 3 cos(x)

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Q: Find the indefinite integral. ∫(5x/e2x) dx

A: The by parts formula∫fg dx=f∫gdx-∫f'∫gdxdx+C∫exdx=ex+C∫xndx=xn+1n+1+C

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 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: evaluate the definite integral.

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Q: Find the indefinite integral. 1 - e2x dx

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Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .

Q: Evaluate the integrals. ∫x sin x2 cos8 x2 dx

A: Given,         ∫xsinx2cos8x2dx

Q: Find the indefinite integral. ∫cos3( x/3)   dx

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

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Q: Determine the indefinite integral e - e¯ª cos x dx.

A: ∫e-xcosx dx

Q: Find the general indefinite integral.   ∫ (x2+  x-2)    dx

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Q: Find the indefinite integral ∫(3√x+e3)dx.

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Q: evaluate the definite integral.

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

A: Given:

Q: Find the indefinite integral. ∫e4x cos 2x dx

A: Here given integration as I=∫e2xcos 2x dx

Q: (2х-2 dx

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Q: Find the indefinite integral of Se-* cos e-*dx.

A: The given integral is: ∫e-xcos e-xdx We use the substitution method here.

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: Evaluate the definite integral. e 1/x dx

A: Now consider,

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

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Q: Find the indefinite integral. ∫e3x+1 dx

A: The given integral is ∫e3x+1 dx

Q: 34. cos(m/x) dx

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