Engineering Board Exam Reviewer · Indefinite Integrals - Basic Formulas · medium

Evaluate: x,ex2,dx

1. 12ex2+C
2. ex2+C
3. 2ex2+C
4. x2ex2+C

Answer

A. 12ex2+C

Solution

Let u=x2, du=2x,dx. 12 eu,du= 12ex2+C.

More Indefinite Integrals - Basic Formulas questions

1. Evaluate: (4x3-6x2+2),dx
2. Evaluate: 1sqrt(1-x2),dx
3. Evaluate: 2x/x2+1,dx
4. Evaluate: 1 2≤ft(x ) 2≤ft(x ),dx
5. Evaluate: x3 - 3 x + 2x2,dx (assume x>0)
6. Evaluate: 2x 3x,dx
7. Evaluate: 2≤ft(3 x ),dx
8. Evaluate: ≤ft(e3 x + e- 3 x )2,dx
9. Evaluate: ≤ft(sqrt(x) + 1sqrt(x) )2,dx (assume x>0)
10. Evaluate: (3x2-4x+5),dx

All Indefinite Integrals - Basic Formulas questions