Home
Class 12
PHYSICS
Integrate the following : (i) int(t-(1...

Integrate the following :
(i) `int(t-(1)/(t))^(2)" dt "`
(ii)`intsin(10t-50)" dt "`
(iii)`inte^((100t+6))" dt "`

Text Solution

Verified by Experts

The correct Answer is:
(i)`(t^(3))/(3)-(1)/(t)-2t+C`
(ii)`(-cos(10t-50))/(10)+C`
(iii)`(1)/(100)e^(100t+6)+C`
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Graphs))|28 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Co-ordinate & Algebra)|40 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Differentiation)|40 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

Integrate the following function (a) int_(o)^(2) 2t dt (b) int _(1) ^(2)(2t -4) dt

Obtain the following integrals : int(1)/(sqrt(3t-2t^(2)))dt

Integrate the following (1) intx^(-3/2)dx (2) intsin60^(@)dx (3) int(1)/(10x)dx (4) int(2x^(3)-x^(2)+1)dx

Find the following integrals: (i) intsin^(3)xcos^(2)xdx (ii) int(sinx)/(sin(x+a))dx (iii) int1/(1+tanx)dx

Evaluate the following integrals : (i) int x^(15)dx (ii) int x^(-3//2)dx (iii) int(3x^(-7)+x^(-1))dx

Integrate the following w.r.t. x. (i) 4x^(3) , (ii) x-1/x , (iii) 1/(2x+3) , (iv) cos (4x+3) (v) cos^(2) x

Integration of some particular functions : int(1)/(3t^(2)+4)dt=A tan^(-1)(Bt)+c then AB=....

Find the following integrals : (i) int (sinx+cosx)dx (ii) int "cosec" x ("cosec" x+cot x)dx (iii) int (1-sinx)/(cos^(2)x)dx

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)