Indefinite Integration — Mathematics

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Question 1
EasyJEE

The value of theintegralofxn dx(wheren≠−1)the integral of xⁿ \,dx (where n ≠ -1) is:

A. x(n+1)/(n+1)+Cx^(n+1) / (n+1) + C
B. nx(n−1)+Cn x^(n-1) + C
C. xn/n+Cx^{n} / n + C
D. ln⁡(x)+C\ln(x) + C
Question 2
EasyJEE

The integral of 1/x dxwithrespecttox1/x \,dx with respect to x is:

A. ln⁡∣x∣+C\ln|x| + C
B. −1/x2+C-1/x² + C
C. ex+Ce^{x} + C
D. x+Cx + C
Question 3
EasyJEE

The value of the integral of exe^{x} dx is:

A. ex+Ce^{x} + C
B. xe(x−1)+Cx e^(x-1) + C
C. ex/x+Ce^{x} / x + C
D. ln⁡(x)+C\ln(x) + C

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