Home
Class 12
MATHS
The area bounded by the curve y = f (x) ...

The area bounded by the curve `y = f (x)` lies on the both sides of the X -axis is `| int _(a) ^(b) f (x) dx | + | int _(b) ^© f (x) dx |.`

Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 APPLICATIONS OF DEFINITE INTEGRATION (FILL IN THE BLANKS)|7 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 APPLICATIONS OF DEFINITE INTEGRATION (3 MARKS )|11 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 APPLICATIONS OF DEFINITE INTEGRATION |7 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

int _(a) ^(b) f (x) dx = int _(a) ^(b) f (a + b - x) dx

Area bounded by the curve y = f (x) and the lines x =a, =b and the x axis is :

The area of the shaded region bounded by two curves y =f (x), and y =g (x) and X-axis is | int _(a) ^(b) f (x) dx + int _(a) ^(b) g (x) dx |.

int_(a + c)^(b+c) f(x)dx=

Prove that int_(a)^(b) f(x) dx= int_(a)^(b) f(a+b-x) dx

Prove that the equality int_(a)^(b) f(x) dx = int_(a)^(b) f(a + b - x) dx

The area bounded by the curve y=f(x) ,above the x-axis, between x=a and x=b is modulus of:

int _(0) ^(2a) f (x) dx = int _(0) ^(a) f (x) dx + int _(0)^(a) f (2a -x ) dx

Evaluate the following integrals: int_(a)^(b)f(x)dx +int_(b)^(a)f(x)dx