`intxsqrt(x^(4)+1)dx` का मान ज्ञात कीजिए ।

Explanation

`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`