Find the indefinite integral: csc(x)/[csc(x)-sin(x)]dx

Q: Evaluate the indefinite integral using substitution. (Use C' for the constant of integration.) x2 dx…

A: Given:  Let I=∫x2x3-3 dx To Find: To evaluate the given integral.

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Answer

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

A: The given integral is

Q: Find the indefinite integral.

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

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(8x + 5)®dx

A:

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (in(x))6 dx х

A:

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) x7 dx…

A: We have to solve

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | x³ sin(x*) dx

A: Let’s put u = x4 and then solve the integration:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (7+5x)/(1+x2)  dx

A: Integrand, I = (7 + 5x) / (1 + x2) This can be split into two terms:  I = 7/(1 + x2) + 5x/(1 + x2)

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (In 9x)28 dx х

A: Given,

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

A: Given integral is I = ∫7 (t5 - t3 + 1) dt First we have to integrate the given integral equation.…

Q: Find the indefinite integral ∫5/x dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) + 48 dx

A:

Q: Find the indefinite integral ∫ x/√(1 − x4)   dx

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 dx x/ 25 - (In x)2

A: Use substitution method

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 12x + 8) dx

A: ∫ x2-12x+8dx =∫ x2dx-∫ 12xdx+∫ 8dx

Q: Find the indefinite integral : csc (x) csc (x) - sin (x) dx

A: Given integral is ∫cscxcscx-sinxdx.

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

A:

Q: Find the indefinite integral by using the appropriate formula . ∫ x2 sin x dx

A: Solution -    Given Indefinite Integral- y=∫x2sinx dx Integrating using by parts formula which is…

Q: Find the indefinite integral and check the result by differentiation. ∫ 1/x5 dx

A:

Q: Find the indefinite integral and check the result by differentiation.

A: Given, I=∫x34+1dx Or  I=∫x34+1dx

Q: Find the indefinite integral and check the result by differentiation.

A: Given: I=∫dx2x We know that ∫xndx=xn+1n+1+c                                                   ..1

Q: Find the indefinite integral. (Use C for the constant of integration.) CS dx

A:

Q: Find the indefinite integral and check the result by differentiation.                   ∫(x3/2 + 2x…

A: Recall: Integral of xndx = xn+1 / (n + 1)  + C

Q: Find the indefinite integral and check the result by differentiation.

A: Consider the provided integral, ∫2-3x10dx Find the indefinite integral and check the result by…

Q: Find the indefinite integral and check the result by differentiation.                ∫(x + 1)(3x −…

A: Simplify the integrand = (x + 1)(3x − 2) = 3x2 + 3x - 2x - 2 = 3x2 + x - 2

Q: Find the indefinite integral. (Use C for the constant of integration.) el/x6 xp-

A: integral, ∫e1x6x7dx

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

A:

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 4x + 17 dx

A:

Q: Find the indefinite integral and check the result by differentiation. ∫(x + 7) dx

A:

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

A: To evaluate the given integral:

Q: Find the indefinite integral by making a change of variables

A: Consider the given integral as ∫x3x3-1dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 dx 49 - (In x)2

A:

Q: Find the indefinite integral and check the result by differentiation                 ∫5x 3√(1 − x2)…

A: Given integral is ∫5x31-x2dx.

Q: Find the indefinite integral ∫csc2(x/2) dx

A: Given ∫csc2x2dx

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx - 1

A:

Q: Find the indefinite integral by using the appropriate formula . ∫ x5 ln x dx

A: Given: ∫x5 ln x dx We evaluate by integration by parts: ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the…

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

A: Given integral: ∫lnx2xdx Substitute t=ln(x) and differentiate it w.r.t 'x'…

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 dx 20x - x

A: Given,            ∫1020x - x2 dx

Q: Find the indefinite integral and check the result by differentiation                     ∫ x /√(1 −…

A: Given indefinite integral ∫x1-x2dx Substitute the value of 1-x2=t and differentiate it w.r.t "x"…

Q: Evaluate the indefinite integral. (Use C for the constant of integration. | (5 - 4x)10 dx

A: