Evaluate the definite integral (X^4)/(1-X^4) Cos^(-1)[2x/(1+x^2)] Limits are from[-1/root3 , 1/root3].
Adarsh , 6 Years ago
Grade 12th pass
Integral Calculus> Evaluate the definite integral (X^4)/(1-X...
1 Answers
Aditya Gupta
Last Activity: 6 Years ago
Assume the function to be integrated f(x)
Now replace the function by f(a+b-x) or f(-x) in this case and then add both eqns.
But arccosy+arccos(-y)=π
So 2I/π= integral of x^4/(1-x^4)
Now write it as 1/(1-x^4) - 1
Use partial fractions for 1/(1-x^4) and the question Will be solved
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Integral Calculus
The area of a square field is 640000cm2.what is its area in hectares
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)
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 Year ago(s)
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 Year ago(s)
how to solve this?this is interger type question .
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
Integrate 0 to π/2 (x sin x cos x )/(a²cos²x + b²sin²x)²
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)