Integration Practice!

Image Credit: Patrick JMT

I am just sharing it because I think they are good. I hope they are quite readable.

Note by Kartik Sharma
6 years, 5 months ago

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  Easy Math Editor

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Comments

  1. ∫sin⁡x+sec⁡xtan⁡x dx\displaystyle\int \dfrac{\sin x + \sec x}{\tan x}\text{ d}x

  2. ∫x3+x4 dx\displaystyle\int \dfrac{x}{\sqrt{3+x^4}}\text{ d}x

  3. ∫xx4+x2+1 dx\displaystyle\int \dfrac{x}{x^4+x^2+1}\text{ d}x

  4. ∫sin⁡3θcos⁡5θ dθ\displaystyle\int \sin^3\theta\cos^5\theta\text{ d}\theta

  5. ∫1+ln⁡xxln⁡x dx\displaystyle\int \dfrac{\sqrt{1+\ln x}}{x\ln x}\text{ d}x

  6. ∫e2t1+e4t dt\displaystyle\int \dfrac{e^{2t}}{1+e^{4t}}\text{ d}t

  7. ∫ex3 dx\displaystyle\int e^{\sqrt[3]{x}}\text{ d}x

  8. ∫(1+x)6 dx\displaystyle\int (1+\sqrt{x})^6\text{ d}x

  9. ∫ln⁡(x2−1) dx\displaystyle\int \ln (x^2-1)\text{ d}x

  10. ∫−22∣x2−4x∣ dx\displaystyle\int_{-2}^{2} |x^2-4x| \text{ d}x

  11. ∫1+ex dx\displaystyle\int \sqrt{1+e^x}\text{ d}x

  12. ∫x+ax2+a2 dx\displaystyle\int \dfrac{x+a}{x^2+a^2}\text{ d}x

  13. ∫(x+sin⁡x)2 dx\displaystyle\int (x+\sin x)^2\text{ d}x

  14. ∫1e3x−ex dx\displaystyle\int \dfrac{1}{e^{3x}-e^x}\text{ d}x

  15. ∫xex dx\displaystyle\int \sqrt{x}e^{\sqrt{x}}\text{ d}x

  16. ∫x3(x+1)10 dx\displaystyle\int \dfrac{x^3}{(x+1)^{10}}\text{ d}x

  17. ∫tan⁡−1xx dx\displaystyle\int \dfrac{\tan^{-1}\sqrt{x}}{\sqrt{x}}\text{ d}x

  18. ∫ dxex−e−x\displaystyle\int \dfrac{\text{ d}x}{e^x-e^{-x}}

  19. ∫sin⁡x⋅sin⁡2x⋅sin⁡3x dx\displaystyle\int \sin x \cdot \sin 2x\cdot \sin 3x\text{ d}x

  20. ∫1x+1+x dx\displaystyle\int \dfrac{1}{\sqrt{x+1}+\sqrt{x}}\text{ d}x

Sorry for any errors.

Daniel Liu - 6 years, 5 months ago

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All CBSE NCERT Class 12 questions

U Z - 6 years, 5 months ago

Yep. Thanks!

Kartik Sharma - 6 years, 5 months ago

It is slightly hard to read it, because the image is rather small and zooming in loses the focus. Can you type out some of these? The integrals look interesting to work on!

Calvin Lin Staff - 6 years, 5 months ago

They are quite unreadable @Kartik Sharma

Ronak Agarwal - 6 years, 5 months ago

They are easy

Rajnikant 007 - 6 years, 5 months ago

Can anyone do this https://brilliant.org/discussions/thread/extremely-weird-integration/?ref_id=946409

柯 南 - 5 years, 9 months ago
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