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(01)int(x^4+x^2+1)d(x^2)...

`(01)int(x^4+x^2+1)d(x^2)`

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int_0^1 (x^4 + 2x^2 + 1)d(x^2 + 1) =

int (x^(4) + x^(2) +1)/(x^(2) + 1) dx =

Find int( x^2)/((x^2+1)(x^2+4)) d x

int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= sqrt(x^2+1/(x^2)+1)+C (sqrt(x^4+x^2+1))/(x^2)+C (sqrt(x^4+x^2+1))/x+C (d) none of these

(i) int 1/((x^2+1)(x^2+4)) dx (ii) int 1/((x^2+1)(x^2+2)) dx

int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1))/(x^3)+C (b) (sqrt(2x^4-2x^2+1))/x+C (c) (sqrt(2x^4-2x^2+1))/(x^2)+C (d) (sqrt(2x^4-2x^2+1))/(2x^2)+C