Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 7-4-2021

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

2.3 K+

100+

Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | today in this question we have to evaluate integration please solve this problem in this question first of all I am going to take the is time from here will get it is equals to cos x dx now I am going to replace both the above integral 16 days will become getting a square root become a square b square and integration of DX upon square root Square x square is equals to Logon Mod X + Y square root a square + x square |

01:00 - 01:59 | plus medicine become integration the following description will now become log lawn pipla square root Square Mall + c and become login + b square + c square and this is our financial thank you student |

**A function `phi(x)` is called a primitive of `f(x)`; if `phi'(x) = f(x)`**

**Some important formulas of integration**

**Examples of integration: (i) `x^4` (ii) `3^x`**

**Theorem: `d/dx(int f(x) dx) = f(x)`**

**The integral of the product of a constant and a function = the constant x integral of function**

**`int {f(x) pm g(x)} dx = int f(x) dx pm int g(x) dx`**

**Geometrical interpretation of indefinite integral**

**Comparison between differentiation and integration**

**By substitution: Theorem: If `int f(x) dx = phi(x)` then `int f(ax+b) dx = 1/a phi(ax + b)dx`**

**Examples: `1/ (cos3x+1) dx` and `1/((sqrt (x+a) + sqrt (x+b))) dx`**