Evaluate the indefinite integral. (Remember to use absolute values where

Lorenzolaji

Lorenzolaji

Answered question

2021-12-05

Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dxqx+s(q0)

Answer & Explanation

navratitehf

navratitehf

Beginner2021-12-06Added 20 answers

Step 1
Given,
dxqx+s(q0)
Step 2
Now integrating by substitution:
Put u=qx+s
differentiating with respect to x, we get
dudx=q(1)+0=q   [ddx(xn)=nxn1]
dx=duq
dxqx+s=duqu=1qln(u)+C   [1xdx=ln(x)+C]
Now replacing u=qx+s
dxqx+s=1qln(qx+s)+C

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