Grade 12Integral Calculus
integralof1/square root of (sin^3x+cos^5X)
integralof1/square root of (sin^3x+cos^5X)
1 Answer
Rinkoo Gupta
Integral of 1/sqrt of (sin^3xcos^5x) dx
=integral of sec^4x dx/sqrt of tan^3x
let tanx=t
on differentiating w.r.to x we get
sec^2x dx=dt
integral of (1+t^2)/t^3/2 .dt
=integral {t^(-3/2) +t^(1/2)} dt
=t^(-1/2)/(-1/2) + t^(3/2)/(3/2)
=-2/sqrt t +2/3 .t^(3/2)
=-2/sqrt of tanx + 2/3(tanx)^3/2
Thanks & Regards
Rinkoo Gupta
AskIITians faculty
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
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
Last Activity: 4 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
Last Activity: 4 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
Last Activity: 4 Years ago