Class 12 Work sheet integration using properties of definite integrals


5382

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{2\pi}Cos^5xdx

5383

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{log\frac{1}{2}}^{log2}Sin\left ( \frac{e^x+1}{e^x-1} \right )dx

5384

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}Sin^2xdx

5385

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{3}x^2\sqrt{3-x}dx

5386

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

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

5387

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\frac{\pi}{2}}\frac{dx}{1+\sqrt{Cotx}}

5388

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\pi}\frac{4xSinx}{1+Cos^2x}dx

5389

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{2}^{3}\frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}}dx

5390

Mathematics Integration Level: Misc Level

Prove that \int_{0}^{\frac{\pi}{2}}log(Sinx)dx=\int_{0}^{\frac{\pi}{2}}log(Cosx)dx=\frac{-\pi}{2}log2

5391

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\pi}xlog(Sinx)dx

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