Home
Class 11
PHYSICS
Evaluate : overset2underset0int...

Evaluate : `overset2underset0int`

Text Solution

Verified by Experts

`int_0^2 (1)/((1 +3 x))dx = [log(1+3x)/(3)]_0^2 = (1)/(3)[ log(1 +3xx2) - log (1+3xx0)]`
`= (1)/(3) [log 7-log 1] = (1)/(3) (log 7- 0) = (1)/(3) log7`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise PROBLEMS FOR PRACTICE|53 Videos

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise M.C.Q|5 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos

Similar Questions

Explore conceptually related problems

" If " Delta (x)=|underset(9" "x" "-7)underset(6" "4x" "3)(1" "x^(2)" "x^(2))| then find the value of overset(1)underset(0)(int)Delta (x) dx without expanding Delta (x) .

The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

Evaluate: underset(0)overset(pi//4)intsinxdx

Calculate the energy in fusion reaction . overset(2)underset(1).H +overset(2)underset(1).H to overset(4)underset(2).He + n " where BE of " overset(2)underset(1).H=2.23 MeV " and of " overset(4)underset(2).He =7.73 MeV

In the Lewis structure what are the formal charges on the sulphur and oxygen atoms, respectively? [:overset(..)underset(..)O-overset(":"overset(..)O":")overset(|)underset(":"underset(..)O":")underset(|)"S"-overset(..)underset(..)O:]^(2-)

Arrange the following carbonium ions in order of decreasing stability : underset(I)underset()((CH_(3))_(3)overset(+)C)" "underset(II)underset()((CH_(3))_(2)overset(+)CH)" "underset(III)underset()(CH_(3)overset(+)CH_(2))" "underset(IV)underset()(overset(+)H_(3)C)

The value of int underset(0)overset(pi) xsin^(3)xdx is