# Class 12 Work sheet integration using properties of definite integrals

5372

Mathematics Integration Level: Misc Level

What are the properties of definite integrals?

5373

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{0}^{2}\frac{x-1}{|x-1|}dx$

5375

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{0}^{\frac{\pi}{2}}log(tanx)dx$

5374

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{\frac{-\pi}{3}}^{\frac{\pi}{3}}(x^2Sinx+tan^3x)dx$

5376

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{-5}^{6}|x+2|dx$

5377

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{1}^{3}|x^2-2x|dx$

5378

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{0}^{\frac{\pi}{2}}|Cosx|dx$

5379

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{-1}^{1}\sqrt{|x|-x} dx$

5380

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{0}^{3}f(x)dx$  where f(x)=|x|+|x-1|+|x-2|

5381

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

$\int_{0}^{9}f(x)dx$  where f(x) is as shown in the answer

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