Evaluate the indefinite integral x5 – 5x dx x3

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

A: Let

Q: Find the indefinite integral.

A: We find this indefinite integral by the method of substitution. We re-write the integral in a…

Q: Find the indefinite integral.

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

Q: Evaluate the indefinite integral: ∫(9x + 2) dx

A: To evaluate the indefinite integral ∫9x+2 dx We use the following to find the given integral ∫c…

Q: Evaluate the indefinite integral. dx x2V49 + x2

A:

Q: Evaluate the indefinite integral. dx 2 5x

A: We have to find given integral.

Q: Find the indefinite integral.

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

Q: Evaluate this indefinite integral: (√x-(1/2)x+2/√x)dx

A: Consider the provided integral, ∫x-x2+2xdx Solve the above integral. Apply the sum rule of the…

Q: Evaluate the indefinite integral: (x² – 3)*(2x) dx -

A:

Q: Evaluate the indefinite integral. x + 4 dx x2 + 8x + 17

A:

Q: Find the indefinite integral ∫(x3 − 8x) / x2 dx

A:

Q: evaluate the indefinite integral.

A:

Q: Evaluate the indefinite integral. -2 -dx. x2 + 10x + 25

A: To evaluate the indefinite integral.

Q: Find the indefinite integral ∫ (x2 + 8) /x√(x2 − 4)  dx

A: Given that: The indefinite integral ∫x2 + 8xx2 - 4 dx

Q: Evaluate the indefinite integral:  ∫ (x + 1)(x2 + 2x)3/4 dx

A: Given integral is ∫x+1x2+2x34dx. Consider u=x2+2x.

Q: Evaluate the indefinite integral:  ∫ (3x2 + 1)(x3 + x)2 dx

A: We have to evaluate the indefinite integral: ∫3x2+1x3+x2dx Rewriting the integral by using…

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

A: we have to find the integral  ∫xx2-3dx

Q: Find the indefinite integral. x² + 4x +3 dx x3 + 6x2 + 9x + 8

A:

Q: Evaluate the indefinite integral: ∫x(x2 − 4) dx

A: We know that, ∫af(x)+bg(x) dx=a∫f(x) dx+b∫g(x) dx where a, bare constants , f, gare functions.…

Q: Find the indefinite integral. ∫5xe−x2 dx

A:

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: Find the indefinite integral.

A:

Q: Find the indefinite integral

A: We have the integral as I=∫x5-x2dx Let us consider that, -x2=t-2xdx=dtxdx=-12dt

Q: Evaluate the indefinite integral. -dx 1 – x8

A: We use the standard integration result ∫11-x2dx=sin-1x+C

Q: Find the indefinite integral ∫(x3 − 3x2 + 5) / (x − 3) dx

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Evaluate the indefinite integral. Vx² – 16 dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Evaluate the indefinite integral. x² dx 1 + x6

A: To find :- Integral of ∫x2/(1+x6)       ........................(1)   Solution :- According to the…

Q: Evaluate the indefinite integral of (x+3)/[(x-1)2(x2+2)] dx

A:

Q: Evaluate the indefinite integral:  x3ln(x2-1)dx

A: Given integral By using the following substitution, we get

Q: Evaluate the indefinite integral: + 1+x8 dx

A:

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

A:

Q: Evaluate the indefinite integral x5 - 5x dx x3

A: This is a simple question related to integration  Solution is given below

Q: Find the indefinite integral. x2 + 12x + 3 x + 18x2 + 9x + 6 dx

A: Integration is also known as antiderivative. Integtation of (1/x) = ln x

Q: Evaluate the definite integral

A: Evaluate definite integral.

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x

A: Given,            ∫x+3x2+6xdx

Q: Find the indefinite integral ∫ (x2 + 2x + 3) / (x3 + 3x2 + 9x)   dx

A: To evaluate ∫x2+2x+3x3+3x2+9xdx

Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

A:

Q: 2 x² (7+ 4x8) dx

A:

Q: Find the indefinite integral. ∫(x2 + 2x − 6)/ x4 dx

A: Consider the integral: I=∫x2+2x-6x4dx……1

Q: Evaluate the indefinite integral 6 dx %| x2 Vx2 + 9

A:

Q: Find the indefinite integral. x2 + 4x + 3 dx x³ + 6x2 + 9x + 6

A: Here we have to solve integral equation by substitution.

Q: Find the Indefinite Integral. x²-2x dx メ-3

A: We have to find the Indefinite Integral  ∫x2-2xx3-3x2dx.

Q: Evaluate the indefinite integral dx x(x²+2x+1)

A:

Q: Find the indefinite integral ∫(x4 + 5x) dx

A: Given: ∫(x4 + 5x) dx Now by using the sum rule, ∫fx±gxdx=∫fxdx+∫gxdx⇒∫x4dx+∫5xdx

Q: Find the indefinite integral ∫( x3 + x + 1)/( x4 + 2x2 + 1) dx

A: Assume the given integral be I, rewrite it. Break the integral in two parts.…

Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

A:

Q: * (x² + 4)³/2 -dx

A: Find the integral of the give function: ∫x2+432xdx

Q: dx V5 + 4x – x²

A: Integrate

Q: Evaluate the indefinite integral. dx (9 – x²)3/2

A:

Q: Evaluate the definite integral. 5x2 + 1 dx = x2

A: