Home
Class 12
MATHS
sinx^(2)+sin^(2)x+sin^(2)(x^(2))...

`sinx^(2)+sin^(2)x+sin^(2)(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
N/a
Let `y = sinx^(2)+sin^(2)x+sin^(2)(x^(2))`
` :. (dy)/(dx)=(d)/(dx)sin(x^(2))+(d)/(dx)(sinx)^(2)+(d)/(dx)(sinx^(2))^(2)`
`= cos(x^(2))(d)/(dx) (x^(2))+2sinx.(d)/(dx)sinx+2sinx^(2).(d)/(dx) sinx^(2)`
`= cosx^(2)2x+2.sinx.cosx+2sinx^(2)cosx^(2).(d)/(dx)x^(2)`
`= 2x cos(x)^(2)+2.sinx.cosx+2sinx^(2).cosx^(2).2x`
`= 2xcos(x)^(2)+sin2x+sin2(x)^(2).2x`
` = 2x cos(x^(2))+2x.sin2(x^(2))+sin2x`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT EXEMPLAR|Exercise Application Of Integrals|68 Videos

  • DETERMINANTS

    NCERT EXEMPLAR|Exercise Determinants|58 Videos

Similar Questions

Explore conceptually related problems

(sinx-sin3x)/(sin^(2)x-cos^(2)x) = 2sinx

Which of the following set of values of x satisfies the equation 2^((2 sin^(2) x-3sinx +1))+2^((2-2 sin^(2)x+3 sin x))=9 ?

int sqrt(cos x(cos^(3) x + sin 2x))dx = (1- sinx)/(k)sqrt(1+2 sin x-sin^(2)x) + sin^(-1)((1-sinx)/(sqrt(2)))+c then 3k =

int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx

int((sinx+cosx)(2-sin2x))/(sin^(2)2x)dx=

Evaluate the following limits: lim_(x to(pi)/(6))(2sin^(2)x+sinx-1)/(2sin^(2)x-3sinx+1)