Home
Class 12
MATHS
Find the integralint(2x-3cosx+e^x)dx...

Find the integral`int(2x-3cosx+e^x)dx`

Text Solution

Verified by Experts

`int(2x-3cosx+e^x)dx`
` =2int xdx-3 int cosxdx+int e^xdx `
`={2x^(1+1)}/(1+1)-3sinx+e^x+C`
`={2x^2}/2-3sinx+e^x+C `
`=x^2-3sinx+e^x+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.2|39 Videos
  • INTEGRALS

    NCERT|Exercise SOLVED EXAMPLES|46 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Find the integral int(2x^(2)+e^(x))dx

Find the integration int(sin2x cos x.dx)

Find the integral ,int(4e^(3x)+1)dx

Evaluate the following integrals: int(cos2x)/(cosx)dx

The value of the integral I=inte^(x)(sinx+cosx)dx is equal to e^(x).f(x)+C, C being the constant of integration. Then the maximum value of y=f(x^(2)), AA x in R is equal to

Find the following integrals : int (2x^2+e^x) dx

Evaluate the following integral: int_(-2)^2x e^(|x|)dx

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

int e^(x)cosx dx

Evaluate the following integrals. int cosx tan^(3) x dx