help@askiitians.com

+91-87964 74404

Grade 12Integral Calculus

evaluate
∫ 1/sqrt(x) {1+1/x} dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int \frac{1}{\sqrt{x}}.(1+\frac{1}{x})dx$
$I = \int (\frac{1}{\sqrt{x}}+\frac{1}{x^{3/2}})dx$
$I = \int \frac{1}{\sqrt{x}}dx+\int \frac{1}{x^{3/2}}dx$
$I = 2\sqrt{x}+\int \frac{1}{x^{3/2}}dx$
$I = 2\sqrt{x}+ \frac{x^{-3/2+1}}{-3/2+1} + c$
$I = 2\sqrt{x} - \frac{2}{\sqrt{x}} + c$

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 4 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 4 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions