## Integration question - IB math HL

Discussions for the Core part of the syllabus. Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths HL Revision Notes

### Integration question - IB math HL

Integration, Integrals - IB Mathematics HL

How can we find the following indefinite integral?

$\int \frac{x+4}{\sqrt{1-x^2}}\ dx$

Thanks
Brynlee

Posts: 0
Joined: Mon Jan 28, 2013 8:10 pm

### Re: Integration question - IB math HL

Integration, Integrals - IB Mathematics HL

$\int \frac{x+4}{\sqrt{1-x^2}}\ dx =$

$=-\frac{1}{2}\int \frac{-2x}{\sqrt{1-x^2}}+4\int \frac{1}{\sqrt{1-x^2}}=$

$=-\frac{1}{2}\frac{(1-x^2)^{\frac{1}{2}}}{\frac{1}{2}}+4arcsin(x)+c$

Hope these help!!
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

### Re: Integration question - IB math HL

Thank you!!
Brynlee

Posts: 0
Joined: Mon Jan 28, 2013 8:10 pm