CBSE Class 12 Sample Paper for 2019 Boards

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 8 (OR 1 st question)

Find: β« e x (x - 3) / (x - 1) 3 Β dx

This video is only available for Teachoo black users

Get live Maths 1-on-1 Classs - Class 6 to 12

Transcript

Question 8 (OR 1st question) Find: β«1β(π^π₯ (π₯ β 3))/(π₯ β 1)^3 dx β«1β(π^π₯ (π₯ β 3))/(π₯ β 1)^3 dx = β«1β(π^π₯ (π₯ β 1 β 2))/(π₯ β 1)^3 dx = β«1β(π^π₯ [(π₯ β 1)β 2])/(π₯ β 1)^3 dx = β«1βγπ^π₯ [((π₯ β 1) β 2)/(π₯ β 1)^3 ] γ dx = β«1βγπ^π₯ [((π₯ β 1))/(π₯ β 1)^3 +((β2)/(π₯ β 1)^3 )] γ dx = β«1βγπ^π₯ [1/(π₯ β 1)^2 +((β2)/(π₯ β 1)^3 )] γ dx It is of form β«1βγπ^π₯ (π(π₯)+π^β² (π₯)) γ ππ₯=π^π₯ π(π₯)+πΆ Putting, π(π₯)=1/(π₯ β 1)^2 " " β΄ π^β² (π₯)= (β2)/(π₯ β 1)^3 β«1βγπ^π₯ [1/(π₯ β 1)^2 +((β2)/(π₯ β 1)^3 )] γ dx =π^π/(π β π)^π +πͺ