Home
Class 7
MATHS
int1/(a^2cos^2 x+ b^2sin^2x) dx...

`int1/(a^2cos^2 x+ b^2sin^2x)` dx

Text Solution

Verified by Experts

`int1/(a^2cos^2x+b^2sin^2x) dx`
`int(sec^2xdx)/(a^2+b^2tan^2x)`
`1/b^2 int(sec^2xdx)/((a/b)^2+tan^2x)`
let`tanx=t`
`sec^2dx=dt`
`1/b^2int(dt)/((a/b)^2+t^2)`
`1/b^2*1/(a/b)^2*tan^(-1)(t/(a/b)^2)+c`
`1/b^2*b/a*tan^(-1)((bt)/a)+c`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate int(sin2x)/(a^2cos^2x+b^2sin^2x)dx

Evaluate int(sin2x)/(a^2cos^2x+b^2sin^2x)dx

Evaluate: int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)dx

Evaluate: int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x))dx

Evaluate: int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x))dx (a) piab (b) pi^(2)ab (c) (pi)/(ab) (d) (pi)/(2ab)

Evaluate: int1/(a^2sin^2x+b^2cos^2x)\ dx

Evaluate: int1/(a^2sin^2x+b^2cos^2x)\ dx

Evaluate int(1)/(cos^(2) x + sin 2x)dx

I=int(1)/(a^(2)cos^(2)x+b^(2)sin^(2)x)dx

int1/(cos 2x +sin^(2)x) dx =