Home
Class 11
PHYSICS
Find the value of int(-l/2)^(+l/2)M/l x^...

Find the value of `int_(-l/2)^(+l/2)M/l x^(2) dx ` where M and l are constants .

Text Solution

AI Generated Solution

To solve the integral \(\int_{-\frac{l}{2}}^{+\frac{l}{2}} \frac{M}{l} x^2 \, dx\), where \(M\) and \(l\) are constants, we can follow these steps: ### Step 1: Factor out the constant The integral can be simplified by factoring out the constant \(\frac{M}{l}\): \[ \int_{-\frac{l}{2}}^{+\frac{l}{2}} \frac{M}{l} x^2 \, dx = \frac{M}{l} \int_{-\frac{l}{2}}^{+\frac{l}{2}} x^2 \, dx \] ...
Promotional Banner

Topper's Solved these Questions

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS |12 Videos

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise LONG ANSWER QUESTIONS|5 Videos

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise EXAMPLES |26 Videos

  • UNITS

    ICSE|Exercise MODULE 3 (SELECTED PROBLEMS) |38 Videos

  • WAVES

    ICSE|Exercise From Musical Sound|10 Videos

Similar Questions

Explore conceptually related problems

Find the x value for which l is parallel to m.

Let L= lim_(nrarr infty) int_(a)^(infty)(n dx)/(1+n^(2)x^(2)) , where a in R, then L can be

Consider the relation 4l^(2)-5m^(2)+6l+1=0 , where l,m in R The number of tangents which can be drawn from the point (2,-3) to the above fixed circle are

Let L= underset(nrarr infty)(lim)int_(a)^(infty)(n dx)/(1+n^(2)x^(2)) , where a in R, then L can be

Evaluate l_(n)= int (dx)/((x^(2)+a^(2))^(n)) .

Let l_(1)=int_(1)^(10^(4))({sqrt(x)})/(sqrt(x))dx and l_(2)=int_(0)^(10)x{x^(2)}dx where {x} denotes fractional part of x then

If the area enclosed by the curve y^(2)=4x and 16y^(2)=5(x-1)^(3) can be expressed in the form (L sqrt(M))/(N) where L and N are relatively prime and M is a prime, find the value of (L+M+N) .

Let the lines l_(1) and l_(2) be normals to y^(2)=4x and tangents to x^(2)=-12y (where l_(1) and l_(2) are not x - axis). The absolute value of the difference of slopes of l_(1) and l_(2) is

Evaluate the integral l=int_(0)^(2)|1-x| d x .

Find the value of the following. 2lm + 61 - 5m-n for l = 5, m = 2, n = -2