Anti Derivative Rules

Question 1

S x^n dx

Answer 1

(1/n+1) . x^n+1 +c

Question 2

S e^x dx

Answer 2

e^x +c

Question 3

S a^x dx

Answer 3

(a^x/lna) +c

Question 4

S 1/x dx

Answer 4

lnlxl +c

Question 5

S sinx dx

Answer 5

-cosx +c

Question 6

S cosx dx

Answer 6

sinx + c

Question 7

S sec^2x dx

Answer 7

tanx +c

Question 8

S csc^2x dx

Answer 8

-cotx +c

Question 9

S secxtanx dx

Answer 9

secx +c

Question 10

S cscxcotx dx

Answer 10

-cscx +c

Question 11

S (1/x^2+1) dx

Answer 11

tan^-1 x +c

Question 12

S (1/sqrt 1-x^2) dx

Answer 12

sin^-1 x +c

Question 13

S (1/x^2 +a^2) dx

Answer 13

(1/a)tan^-1(x/a) +c

Question 14

S (1/sqrt a^2-x^2) dx

Answer 14

sin^-1(x/a) +c