# Class 12 Work sheet definite integral by substitution method

5330

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{4}^{8}x\sqrt[3]{x-4}dx$

5331

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{1}\frac{2x}{(x^2+1)(x^2+2)}dx$

5332

Mathematics Integration Level: Misc Level

Integrate by using substitution method

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

5333

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{1}Sin^{-1}xdx$

5334

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{1}x(tan^{-1}x)^2dx$

5335

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{1}tan^{-1}\left ( \frac{2x}{1+x^2} \right )dx$

5336

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{\frac{\pi}{2}}\frac{dx}{a^2Sin^2x+b^2Cos^2x}$

5337

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{\frac{\pi}{2}}\frac{SinxCosxdx}{Sin^4x+Cos^4x}$

5338

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{\frac{\pi}{2}}\frac{dx}{4Cosx+2Sinx}$

5339

Mathematics Integration Level: Misc Level

Integrate by using substitution method

$\int_{0}^{n}\frac{dx}{6-Cosx}$

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