Home
Class 12
MATHS
int(0)^(1)1/((x^(2)+16)(x^(2)+25))dx is ...

`int_(0)^(1)1/((x^(2)+16)(x^(2)+25))dx` is equal to
a)`1/(5)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`
b)`1/(9)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`
c)`1/(4)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`
d)`1/(9)[1/(5)"tan"^(-1)(1/(4))-1/(4)"tan"^(-1)(1/(5))]`

A

`1/(5)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`

B

`1/(9)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`

C

`1/(4)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))]`

D

`1/(9)[1/(5)"tan"^(-1)(1/(4))-1/(4)"tan"^(-1)(1/(5))]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

2"tan"^(-1)(1/(3))+"tan"^(-1)(1/(4)) is equal to

tan ( 2 tan^(-1) ((2)/(5))) is equal to

int(x^(3)sin[tan^(-1)(x^(4))])/(1+x^(8))dx is equal to : a) 1/4cos[tan^(-1)(x^(4))]+c b) 1/4sin[tan^(-1)(x^(4))]+c c) -1/4cos[tan^(-1)(x^(4))]+c d) 1/4sec^(-1)[tan^(-1)(x^(4))]+c

tan^(-1)""(m)/(n)-tan^(-1)""(m-n)/(m+n) is equal to a) tan^(-1)""(n)/(m) b) tan^(-1)""(m+n)/(m-n) c) (pi)/(4) d) tan^(-1)((1)/(2))

sum_(r=1)^(n) tan^(-1)(2^(r-1)/(1+2^(2r-1))) is equal to a) tan^(-1)(2^n) b) tan^(-1)(2)^n-pi/4 c) tan^(-1)(2^(n+1)) d) tan^(-1)(2^(n+1))-pi/4

Prove that tan ^(-1) (1/7)+tan ^(-1)( (1)/(13))=tan ^(-1)( 2/9)

Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3)))dx equals a) (3x^(2/3))/(4)+6tan^(-1)(x^(1/6))+C b) (3x^(2/3))/(2)+6tan^(-1)(x^(1/6))+C c) (3x^(2/3))/(10)+6tan^(-1)(x^(1/6))+C d) (3x^(2/3))/(5)+6tan^(-1)(x^(1/6))+C

The value of tan^(-1)((sqrt(3))/(2))+tan^(-1)((1)/(sqrt(3))) is equal to a) tan^(-1)((5)/(sqrt(3))) b) tan^(-1)((2)/(sqrt(3))) c) tan^(-1)((1)/(2)) d) tan^(-1)((1)/(3sqrt(3)))

Show that tan^-1(1/8)+tan^-1(1/57)=tan^-1(1/7)