Home
Class 12
MATHS
Evaluate the following integrals:(i) in...

Evaluate the following integrals:(i) `int2 3x^2dx` (ii) `int4 9(sqrt(x))/((30-x^(3/2))^2)dx` (iii) `int1 2(x dx)/((x+1)(x+2)` (iv) `int0pi/4sin^3 2tcos2t dt`

Text Solution

Verified by Experts

(i) Given `int_2^3x^2dx`
on integrating we get
`=((x^3)/3)_2^3`
`=(3^3)/3-(2^3)/3`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.1|22 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.8|6 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.3|24 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_1^3|x^2-4|dx

Evaluate the following integral: int_1^2(3x)/(9x^2-1)dx

Find the following integrals:(i) int(dx)/(x^2-16) (ii) int(dx)/(sqrt(2x-x^2))

Find the following integrals:(i) int(x+2)/(2x^2+6x+5)dx (ii) int(x+3)/(sqrt(5-4x+x^2))dx

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

Evaluate the following integrals : int(cos^2x-sin^2x)/(sqrt(1+cos4x))dx

Evaluate the following Integrals : int ((x+2)dx)/((x^(2)+3x+3)sqrt(x+1))

Evaluate the following integral: int_0^(pi//4)sin2x sin\ 3x\ dx

Evaluate each of the following integrals: (i) intx^4\ dx (ii) intx^(5//4)\ dx (iii) int1/(x^5)\ dx (iv) int1/(x^(3//2))\ dx

Evaluate the following integrals: int_0^((pi)^(2//3))sqrt(x)cos^2x^(3//2)dx