Home
Class 12
MATHS
Find the value of int(0)^(1)root(3)(2x(3...

Find the value of `int_(0)^(1)root(3)(2x(3)-3x^(2)-x+1)dx`.

Text Solution

Verified by Experts

The correct Answer is:
`0`
Using `int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx`,
`I=-I` or `I=0`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 8.6|7 Videos

  • DEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 8.7|6 Videos

  • DEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 8.4|10 Videos

  • CURVE TRACING

    CENGAGE|Exercise Exercise|24 Videos

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(oo) e^(-3x) x^(2) dx is

Prove that int_(0)^(1)log((x)/(x-1))dx=int_(0)^(1)log((x-1)/(x))dx . Find the value of int_(0)^(1)log((x)/(x-1))dx

Find the value of int_0^1 2x^3-3x^2-x+1 3dxdot

Evaluate int_(0)^(1)e^(2-3x)dx

If int_(2)^(a)(dx)/(x^(2)-1)=(1)/(2)"log"(3)/(2),agt1 . Using the value of a, evaluate int_(2)^(a)(x)/(x^(2)+1)dx .

Evaluate the definite integral int_(0)^(1)(4x^(3)+3x^(2)-2x-1)dx

The value of int_(0)^(pi//2)(dx)/(1+tan^(3)x) is

Evaluate int (x^(2)-sqrt(3x)+1)/(x^(4)-x^(2)+1)dx

Evaluate: int_(0)^(1)x^(3)(1-x)^(4) dx.

The value of int_(1)^(3)(sqrt(1+(x-1)^(3))+(x^(2)-1)^(1/3)+1)dx is __________.