formule primitive

Question 1

What is the integral of x^n with respect to x?

Answer 1

x^n+1 / (n + 1) + C

Question 2

What is the integral of e^x with respect to x?

Answer 2

e^x + C

Question 3

What is the integral of 1/x with respect to x?

Answer 3

ln |x| + C

Question 4

What is the integral of sin(x) with respect to x?

Answer 4

-cos(x) + C

Question 5

What is the integral of cos(x) with respect to x?

Answer 5

sin(x) + C

Question 6

What is the integral of sec²(x) with respect to x?

Answer 6

tan(x) + C

Question 7

What is the integral of sec(x)tan(x) with respect to x?

Answer 7

sec(x) + C

Question 8

What is the integral of csc²(x) with respect to x?

Answer 8

-cot(x) + C

Question 9

What is the integral of csc(x)cot(x) with respect to x?

Answer 9

-csc(x) + C

Question 10

What is the integral of tan(x)dx?

Answer 10

− ln | cos(x)| + C

Question 11

What is the integral of cot(x)dx?

Answer 11

ln | sin(x)| + C

Question 12

What is the integral of sec(x)dx?

Answer 12

ln | sec(x) + tan(x)| + C

Question 13

What is the integral of csc(x)dx?

Answer 13

− ln | csc(x) + cot(x)| + C