Saved Bookmarks
| 1. |
`intxsqrt(x^(4)+1)dx` का मान ज्ञात कीजिए । |
|
Answer» `intxsqrt(X^(4)+1)dx` यदि ` x^(2)=t rArr xdx=(dt)/(2),` तब, `intxsqrt(x^(4)+1)dx=(1)/(2)intsqrt(t^(2)+1)dt` `=(1)/(2)[(t)/(2)sqrt(t^(2)+1)+(1)/(2)log[t+sqrt(t^(2)+1)]+c` `=(x^(2))/(4)sqrt(x^(4)+1)+(1)/(4)log[x^(2)+sqrt(x^(4)+1)]+c` |
|