int ( sin ^(-1) sqrtx- cos ^(-1) sqrtx)/...

`int ( sin ^(-1) sqrtx- cos ^(-1) sqrtx)/( sin ^(-1) sqrtx+ cos ^(-1) sqrtx)dx ` का मान ज्ञात कीजिए।

Verified by Experts

The correct Answer is:

` (2)/(pi) [sqrt(x-x^(2)) -( 1- 2x ) sin ^(-1) sqrtx]-x +C `

INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise EXERCISE -4 SECTION -B (Potential Problems Based on CBSE (DEFINITE INTEGRATION)) |15 Videos
INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise EXERCISE -5 ( Rank Booster) |23 Videos
INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise EXERCISE -4 SECTION -A ( CBSE Previous Year.s Questions ( DEFINITE INTEGRATION)) |35 Videos
DETERMINANT & MATRICS
BANSAL HINDI|Exercise EXERCISE -5 (RANK BOOSTER)|15 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
BANSAL HINDI|Exercise EXERCISE-5 (RANK BOOSTER)|10 Videos

int ( (3x-1))/( (x-1) (x-2) (x-3) ) dx का मान ज्ञात कीजिए।
Text Solution
|
int ( 1)/(x-x^(3))dx का मान ज्ञात कीजिए।
Text Solution
|
int ( (5x- 2))/( (3x^(2) +2x+1))dx का मान ज्ञात कीजिये ।
Text Solution
|
int e^(tan ^(-1)x) {( 1+x+ x^(2))/( 1+x^(2))} dx का मान ज्ञात कीजिए।
Text Solution
|
int ( sin ^(-1) sqrtx- cos ^(-1) sqrtx)/( sin ^(-1) sqrtx+ cos ^(-1) ...
Text Solution
|
int ( (x^(2) + 1) (x^(2) +4))/( (x^(2) +3) (x^(2) -5))dx का मान ज्ञात...
Text Solution
|
int ( x^(2)+4)/( x^(4) +x^(2) +16)dx का मान ज्ञात कीजिए।
Text Solution
|
int ( 2 sin 2theta-cos theta)/( 6- cos ^(2) theta - 4 sin theta)d thet...
Text Solution
|
int (x^(2)dx)/( x^(4) +x^(2) + 1) का मान ज्ञात कीजिए
Text Solution
|
int {( sin ^(8) x - cos ^(8) x )/( 1- 2 sin ^(2) x. cos ^(2)x) } dx ...
Text Solution
|