Home
Class 12
MATHS
Integrate the following w.r.t.x. x sin...

Integrate the following w.r.t.x.
`x sin^(2)x`

Text Solution

AI Generated Solution

To integrate the function \( x \sin^2 x \) with respect to \( x \), we will use the integration by parts method. Here’s a step-by-step solution: ### Step 1: Identify \( u \) and \( dv \) We will let: - \( u = x \) (which we will differentiate) - \( dv = \sin^2 x \, dx \) (which we will integrate) ### Step 2: Differentiate \( u \) and Integrate \( dv \) ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos
  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 Videos
  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos
  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos

Similar Questions

Explore conceptually related problems

Integrate the following w.r.t.x. log x

Integrate the following w.r.t.x. sin^(4)x

Integrate the following w.r.t.x. (x sin^(-1)x)/(sqrt(1-x^(2)))

Integrate the following w.r.t.x. x log x

Integrate the following w.r.t.x. xe^(x)

Integrate the following w.r.t.x. (logx)^(2)

Integrate the following w.r.t.x x: sec^(n)x. tanx

Integrate the following w.r.t.x. (sin 2x)/(a sin^(2)x+b cos^(2)x)

Integrate the following w.r.t.x. (2 sinx+3 cosx)/(3 sin x+4 cos x)

Integrate the following w.r.t.x. (x^(2)+2x+6)/((x+1)(x^(2)+4))