S 3cotx.csc² (x)dx

Q: x² – 2x dx

A: Given integral can be written as By using the following substitution we get

Q: ædx + ydy = (x² + y) dx

A:

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: Fanilx dx

A: To find the integration of  x3. tan-1(x)

Q: 2 X 1 dx -2 4

A: Let's see a formula of integration. ∫a2-x2 dx = x2a2-x2 + a22sin-1xa + C We use this formula to…

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: dx 6. 4+ 5сosx

A:

Q: 3x+x - cx=

A: We have to find definite integral.

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: .2 dx 6. (x-1)3

A:

Q: (23×e¬*)dx

A:

Q: x Inx (Inx) dx

A:

Q: x3 2. J Sadx 2. 3.

A:

Q: Find. (x²+1)3 2x dx

A:

Q: S tan³x sec³x dx

A:

Q: S(4x - 3) d

A: Follow the procedure given below.

Q: S xsec?x dx

A: Use integration by parts to evaluate the integral.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: