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 -3 cos x+ e^(x))dx`
`=2 int x dx -3 int cos x dx + int e^(x) dx`
`=2 (x^(2))/(2)- 3 sin x+e^(x) +c`
` =x^(2) -3 sin x+ e^(x)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.2|39 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7s|19 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

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

Find the integral int(2-3sinx)/(cos^2x)dx

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

Find integral of int e^x.cosx dx

Evaluate the following integrals : int(sec^2x+cos e c^2x)dx

Integrate: int(sinx*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

Evaluate the following integrals : int(sin^2x)/(1+cosx)dx

Evaluate the following integrals : int(cosx)/(1-cosx)dxO R(cotx)/(cos e cx-cotx)dx

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