Home
Class 12
MATHS
int (x^(3) - 2x^(2)+5 )e^(3x) dx....

`int (x^(3) - 2x^(2)+5 )e^(3x) dx`.

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(3) x^(3) - x^(2) + (2)/(3) x + (13)/(9) ) e^(3x) +C`.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos
  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.2. Integration by Substitution|22 Videos
  • IMPROPER INTEGRALS

    IA MARON|Exercise 8.4 ADDITIONAL PROBLEMS|1 Videos
  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Additional Problems|34 Videos

Similar Questions

Explore conceptually related problems

int x^(2)e^(3x)dx

int e^(x^(3))*x^(5)dx

int e^(3x+2) dx

Evaluate: (i) int(5x^(2) + 2x^(-5) - 7x + 1/(sqrt(x)) +5/x) dx (ii) int(3sinx - 4 cosx + 5 sec^(2) x - 2cosec^(2)x) dx (iii) int(1-x)(2+3x)(5-4x)dx (iv) int((3x^(4) - 5x^(3) + 4x^(2) -x + 2)/(x^(3)))dx , (v) int(x^(2) + 1/(x^(2)))^(3) dx

int e^x (x^3+3x^2) dx

int_(0)^(3)(2x^(2)+3x+5)dx

int(x^(3)+5x^(2)-3)/((x+2))dx

Find: int (2x-5)/(2x-3)^3 e^(2x) dx.

int e^(x^2) x^3 dx

(i) int x^2 e^x dx (ii) int x^2 e^(3x) dx (ii) int x^3 e^x dx