Home
Class 12
MATHS
Find the integralint(2x^2-3sinx+5sqrt(x)...

Find the integral`int(2x^2-3sinx+5sqrt(x))dx`

Text Solution

Verified by Experts

`int (2x^(2) -3 sin x+ 5sqrt(x))dx`
`= 2int x^(2)dx -3 int sin x dx + 5 int x^(1//2) dx`
`=(2x^(3))/(3)-3 (-cos x) + 5(x^(3//2))/(3//2) +c`
`=(2)/(3)x^(3) +3 cos x +(10)/(3)x^(3//2) +c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7.2|39 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7.3|24 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7s|20 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Find the integral int(2x^(2)-3sin x+5sqrt(x))dx

Evaluate: int(2x^2-3 sinx+5sqrtx)dx

Find the integral int sqrt(x)(3x^(2)+2x+3)dx

Find the integral int(sqrt(x)-(1)/(sqrt(x)))^(2)dx

Find the integral int(x^(3)+3x^(2)+4)/(sqrt(x))dx

Evaluate the integral int(1)/(x^(3)sqrt(x-1))dx .

By using the properties of definite integrals, evaluate the integrals int_(0)^(2)x sqrt(2-x)dx

Evaluate the following definite integral: int_(-2)^2(x^2-x)/(sqrt(x^2+4))dx

Evaluate the following integrals. int (2x -3)/(sqrt(2x-1))dx

Evaluate the following integral: int_2^4(x^2+x)/(sqrt(2x+1))dx