Thursday, August 2, 2018

Solve My Integral

The following is a list of the integral questions and solutions that are good for you to know. The problem and settlement, the admin got from discussions with friends in Facebook math groups. Do not forget to like facebook admin page (Facebook page: FP Online Maths School) and join in facebook grub (Facebook Group: Grup Online Maths School) that admin make to update the articles in this blog. 

1. $ \int \frac{sin^2(x)cos(x)}{sin(x)+cos(x)} \ dx$

2. $ \int ln |x+ \sqrt{x^2+a^2}| \ dx$

3. $ \int_0^{\infty} \frac{sin^3(x)}{x} \ dx$

4. $ \int cos^{-1}( \frac{1-x^2}{1+x^2}) \ dx$

5. $ \int_1^2 e^x ( \frac{1}{x} - \frac{1}{x^2} ) \ dx$

6. $ \int \frac{sin^{-1}( \sqrt{x}) - cos^{-1}( \sqrt{x} )}{sin^{-1}( \sqrt{x}) + cos^{-1}( \sqrt{x} )} \ dx$

7. $  \int_0^{ \pi} \frac{cos(nx)}{2-cos(x)} \ dx$

8. $ \int_0^{\infty} \frac{1}{1+e^x} \ dx$

9. $ \int \frac{sin^3(x)+cos^3(x)}{1+sin^4(x)+cos^4(x)} \ dx$

10. $ \int_0^{\frac{1}{2 \sqrt{2}}} \frac{t^2ln(t)}{ \sqrt{t+1}} \ dt$

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