Intergrate w.r.t. x.: (i) `x^(11//2)` (ii) `x^(-7)` (iii) `x^(p//q)`
Text Solution
AI Generated Solution
To solve the integration problems step by step, we will follow the standard formula for integrating powers of \( x \):
\[
\int x^n \, dx = \frac{x^{n+1}}{n+1} + C
\]
where \( C \) is the constant of integration.
...
Topper's Solved these Questions
BASIC MATHS
ALLEN|Exercise Exersice-03|7 Videos
BASIC MATHS
ALLEN|Exercise ASSERTION-REASON|11 Videos
AIIMS 2019
ALLEN|Exercise PHYSICS|40 Videos
CIRCULAR MOTION
ALLEN|Exercise EXERCISE (J-A)|6 Videos
Similar Questions
Explore conceptually related problems
Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x
Integrate the following w.r.t x 2//x^(3//2)
Differentiate w.r.t x tan (x^2)
Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)
Find first derivation of y w.r.t. x. (i) y=x^(2) sin x , (ii) y=4(e^(x))cos x
Integrate the following w.r.t x 2^(x)
Differentiate w.r.t x (x sin x)^(3)
Integrate the following w.r.t x cos^(2)(x//2)
Differentiate the following w.r.t. x:(i) e^(-x) (ii) sin (log x), x > 0 (iii) cos^(-1)(e^x) (iv) e^(cosx)
Differentiate w.r.t x (i) y=e^(x)sin^(3)xcos^(4)x (ii) y=x*e^(xsinx)
