Home
Class 12
MATHS
If u =-f''(theta) sintheta + f'(theta) c...

If `u =-f''(theta) sintheta + f'(theta) costheta` and `v = f''(theta) costheta + f'(theta) sintheta`,then `int[(du/(d theta))^2+(dy/(d theta))^2]^(1/2)d theta` is equal to

A

`f(theta)-f''(theta)+c`

B

`f(theta)+f''(theta)+c`

C

`f'(theta)+f''(theta)+c`

D

`f'(theta)-f''(theta)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

If u=-f''(theta)sin theta+f'(theta)cos theta and v=f''(theta)cos theta+f'(theta)sin theta, then int(d(u)/(d theta))^(2)+((dy)/(d theta))^(2)]^((1)/(2))d theta is equal to

int(1-costheta)^2 d theta is equal to

int(costheta)/(7+sintheta-2cos^2theta)d theta is equal to

(sintheta+sin2theta)/(1+costheta+cos2theta) =

int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

Let f(theta)=sintheta(sintheta+sin3theta).Then, f(theta)

(sintheta+sin2theta)/(1+costheta+cos2theta)=?

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

int(costheta-cos2theta)/(1-cos theta)d theta=