Find the Fourier integral of the function when x < 0 f(x) = • 1 when x = 0. %3D e-x when x > 0

Q: Find the indefinite integral.

A: To Find the indefinite integral. Substitution  u = x3 du = 3x2 dx du/3 = x2 dx

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt

A: ∫un du =un+1n+1+C

Q: Find the indefinite integral.

A: We have to evaluate the following integral: ∫x2-3x+2x+1dx

Q: Find the indefinite integral.

A: To evaluate the integral: ∫ex+e-xex-e-xdx Solution: Given,…

Q: Find the indefinite integral.

A: To evaluate the integral: ∫1x2-4dx Solution: Let substitute x=2secθ. dxdθ=2secθ tanθdx=2secθ tanθ dθ…

Q: 2x e dx +1 2x

A:

Q: Find the indefinite integral.

A:

Q: Find the indefinite integral ∫ e5x−3 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt sin t

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 4 x2 ) dx

A:

Q: e3x sin x dx

A: We will integrate this integral using integration by parts twice

Q: Find the indefinite integral ∫ e1−3x dx

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Q: Evaluate the indefinite integral.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.

Q: | V5x-4 dx

A:

Q: (1 if 0 1

A: The given function is,f(x)=1 if 0&lt;x&lt;10, if x&gt;1

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: Calculate the integral in terms of the inverse hyperbolic functions.

Q: Evaluate the integral.

A: Given: ∫ex1-e2xdx

Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

A:

Q: Find the indefinite integral. sinh(4 - 7x) dx Step 1 First, let u = 4 - x. Now, differentiate u with…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Find the indefinite integral. (Use C for the constant of integration.) cos(0) do 1

A:

Q: Find the indefinite integral ∫ e2x/(1 + e2x) dx

A: Given: I=∫e2x1+e2xdx for evaluating given integral, we substitute 1+e2x=t…

Q: dx 2 sin x+3 cos x-5

A: Here we going to use some arrangements, look at the all steps carefully

Q: Find the indefinite integral

A:

Q: Find the indefinite integral (use c for the constant of integration) ∫cos3 x sin x dx

A: To solve the given integral

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

A: Consider the given integral ∫ex1-e2x32dx

Q: Find the indefinite integral.

A: Consider the given: ∫ e-x4-4x3dx=∫ -4e-x4x3dx=-4·∫ e-x4x3dx

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

A: Integrate

Q: Find indefinite integral.

A: Given integral: ∫x3e3x4dx Substitute t=3x4 and differentiate it w.r.t. 'x'…

Q: Find the indefinite integral ∫ dx / √x(2√x + 5)

A:

Q: Find the indefinite integral. 1 - e2x dx

A:

Q: dt

A: We have to find indefinite integral

Q: Find the indefinite integral ∫ dx / x(ln x2)3

A: Given,          ∫dxxlnx23

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt V sin t

A:

Q: Find the indefinite integral. sinh(8 - 9x) dx Step 1 First, let u = 8 - x. Now, differentiate u with…

A: Explanation of the answer is as follows

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

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Q: find integral by Beta function -x?)ž dx O otherwise 3 VE

A:

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

A:

Q: [(2x-1)"dx

A: Here we have to find the given value of the integration: ∫2x−110dx

Q: Find the indefinite integral. x* - 1 dx (x5 – 5x)³

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Q: 1 dx x In x

A:

Q: e2x +2e* -dx e* +1 2.

A:

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

A:

Q: cos xdx 10. sin x

A: According to definition ∫f(x)dx=F(x), where dFdx=f(x).The function F(x) is called the antiderivative…

Q: -dx e2a

A: Given: ∫01xe2xdx

Q: |x| dx 1–x²

A:

Q: Find the general indefinite integral.   ∫ (√ x3+  3√ x2)    dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

A: Evaluate the integral: I=∫cosln5ttdt