Home
Class 12
MATHS
Evaluate: inte^x\ (logx+1/(x^2))\ dx...

Evaluate: `inte^x\ (logx+1/(x^2))\ dx`

Text Solution

Verified by Experts

`I=int e^(x)(log x+(1)/(x^(2)))dx=int e^(x)((log x-(1)/(x))+((1)/(x)+(1)/(x^(2))))dx`
`=e^(x)(log x-(1)/(x))+c " "[ :' (d)/(dx)(log x-(1)/(x))=(1)/(x)+(1)/(x^(2))]`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise EXAMPLE|18 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.1|9 Videos

  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise COMPREHENSION TYPE|2 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE PUBLICATION|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int cos(logx)dx .

Evaluate : int cos(logx)dx

Evaluate: inte^(3logx)(x^4+1)^(-1)dx

Evaluate: int(logx)/((1+logx)^2)dx

Evaluate: int(log(logx)+1/((logx)^2))dx

Evaluate : int(log_e(x+1))/((x+1)^2) dx

Evaluate: int(x^2+1)/(x(x^2-1))dx

Evaluate: int (x^2+1)/(x+1)^2 dx

Evaluate: int(x^3)/((x-1)(x-2))\ dx

Evaluate: int(log(1+x^2)dx