1800-150-456-789
FlagBACK
Flag Integral Calculus> helpppppppppppppp...
question mark

integrating from sin x to 1 (t^2f(t)dt=i-sinx for all x E R.THEN F(1/SQ.RT(3)) IS

ZZZ ZZZ , 13 Years ago
Grade
anser 1 Answers
Jitender Singh

Last Activity: 10 Years ago

Ans:
\int_{sinx}^{1}t^{2}f(t)dt = i - sinx
Differentiating both sides. Integral will be differentiated by Leibniz integral rule,
(1)^{2}f(1)\frac{\partial (1)}{\partial x}-(sinx)^{2}f(sinx)\frac{\partial (sinx)}{\partial x}+\int_{1}^{sinx}\frac{\partial (t^{2}f(t))}{\partial x}dx = -cosx
-sin^{2}x.(f(sinx)).cosx + 0 = -cosx
(f(sinx)) = \frac{1}{sin^{2}x}
f(\frac{1}{\sqrt{3}}) = \frac{1}{(\frac{1}{\sqrt{3}})^{2}}
f(\frac{1}{\sqrt{3}}) = 3
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on integral calculus

question mark
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
1 Answer Available

Last Activity: 2 Years ago

question mark
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
integral calculus
0 Answer Available

Last Activity: 2 Years ago

question mark
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
integral calculus
0 Answer Available

Last Activity: 2 Years ago

question mark
how to solve this?this is interger type question .
integral calculus
0 Answer Available

Last Activity: 2 Years ago

question mark
Find the integral of x/(1+cos^2x) from -pi/2 to pi/2
integral calculus
0 Answer Available

Last Activity: 3 Years ago