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Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c

Answered by Tutor94163 D. • Maths tutor

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y' = (2x)/(y+1). Solve for y.

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case.

y + 1 dy = 2x dx Now integrate both sides.

(y²)/2 + y = (2x²)/ 2 + C Don't forget the constant.

Answered by Daniel M. • Maths tutor

3581 Views

Find the differential of (cos2x)^2

This is a question that can be answered in two ways: using the product rule and the rule for differentiating powers, we will do both to see how the two rules are equivalent. chain rule: split the function...

Answered by Hoagy C. • Maths tutor

5945 Views

How do you complete the square?

Completing the square is often useful when solving equations! An example: x²+6x-7=0. Step 1) We want to move the constant to the right hand side: x²+6x=7. Step 2) Now, add the squar...

Answered by Lisa W. • Maths tutor

3598 Views