Integrate the following and please simplify Tan^3 2x sec 2xdx
Prathamesh kulkarni , 8 Years ago
Grade 12
Integral Calculus> Integrate the following and please simpli...
1 Answers
Arun
Write tan3(2x) as tan2(2x).tan(2x) = [sec2(2x)-1].tan(2x)
Now the function is :
Integral [sec2(2x)-1] . tan(2x) . sec(2x)dx
Put sec(2x) = u
sec(2x).tan(2x).dx = du/2
Integral [u2-1]/2
= u3/6 - u/4 + C
= sec3(2x)/6 - sec(2x)/4 + C
Now the function is :
Integral [sec2(2x)-1] . tan(2x) . sec(2x)dx
Put sec(2x) = u
sec(2x).tan(2x).dx = du/2
Integral [u2-1]/2
= u3/6 - u/4 + C
= sec3(2x)/6 - sec(2x)/4 + C
Approved Last Activity: 8 Years ago
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
Other Related Questions on integral calculus
The area of a square field is 640000cm2.what is its area in hectares
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
1 Answer Available
Last Activity: 3 Years ago
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request
integral calculus
1 Answer Available
Last Activity: 3 Years ago
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
integral calculus
1 Answer Available
Last Activity: 3 Years ago
If 4th term of an A.p is zero, show that the 8th term is double the 6th term
If 4th term of an A.p is zero, show that the 8th term is double the 6th term
integral calculus
1 Answer Available
Last Activity: 4 Years ago