Evaluate the indefinite integral x5 - 5x dx x3

Q: Find the indefinite integral.

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

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. (6x + 7 -dx x2 + 1

A: ∫6x+7x2+1dx

Q: Find the indefinite integral ∫(x3 − 4x2 − 4x + 20) / (x2 − 5) dx

A: Given ,∫x3-4x2-4x+20x2-5dx

Q: Evaluate the indefinite integral. dx x2V49 + x2

A:

Q: Find the indefinite integral. x + 8x + 1 dx *+ 12x2 + 3x + 2

A: The given integral,∫x2+8x+1x3+12x2+3x+2dx

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 ∫(x3 − 6x − 20) / (x + 5) dx

A: Given: ∫x3-6x-20x+5dx for integrating this we substitute x+5=u now differentiating both side with…

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

A: Given: ∫xcosec2xdx for finding this integral we will use integral by parts method where, we will use…

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

A: Given: ∫x2-2xx3-3x2dx for solving this integral we substitute  x3-3x2=t now differentiate both side…

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. x² + 4x +3 dx x3 + 6x2 + 9x + 8

A:

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

A:

Q: find the indefinite integral of (3lnx)/x dx

A:

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: Find the indefinite integral ∫ (x2 − 6x + 1)/(x2 + 1) dx

A:

Q: Find the indefinite integral ∫ 3x/(x + 4)    dx

A: Given ∫3xx+4dx The integral property used here is  ∫afxdx=a∫fxdx

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

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

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: Find the indefinite integral. 2 x+16x+2 x'+24x² +6x dx 2.

A:

Q: Find the indefinite integral.

A: Consider the given integral as ∫x+13x2+6xdx

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.

A:

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

A:

Q: Find the indefinite integral X-4x14 dx. | 8x 4x14. 8x dx: %3D

A: given,       ∫x-4x14+18xdx

Q: Evaluate the indefinite integral. x4/(1+x10)dx

A:

Q: Find the indefinite integral ∫ 1/x√(4x2 − 1) dx

A: Given:∫1x4x2-1 dx

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: 35x dx 2一5

A:

Q: Evaluate the indefinite integral. -х —13 dx x+x-6 .2

A:

Q: Evaluate the indefinite integral. x² A -dx 1- x6

A:

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: ((x^3+5x^2-4)/x^2)dx

A: ∫x3+5x2-4x2dx Expand we get  ∫x3+5x2-4x2dx==∫ x+5-4x2dx Apply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdx =∫…

Q: Find the indefinite integral ∫x+1√xdx.

A:

Q: evaluate the indefinite integral.

A:

Q: evaluate the indefinite integral.

A: To solve the indefinite integral.

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 + 4x + 5 dx x3 + 6x² + 15x + 8

A:

Q: evaluate the indefinite integral.

A:

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: