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Standard Formulae - 1

Integral of s...

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Integral of sin*3 theta dtheta

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Q. The value of the integral

\int \frac{sin θ . sin 2 θ ({sin}^{6} θ + {sin}^{4} θ + {sin}^{2} θ) \sqrt{2 {sin}^{4} θ + 3 {sin}^{2} θ + 6}}{1 - cos 2 θ} d θ

(

c

is a constant of integration

)

Q. The value of the integral

\int \frac{sin θ . sin 2 θ ({sin}^{6} θ + {sin}^{4} θ + {sin}^{2} θ) \sqrt{2 {sin}^{4} θ + 3 {sin}^{2} θ + 6}}{1 - cos 2 θ} d θ

(

c

is a constant of integration

)

Q. The value of the integral

\frac{π}{2} \int 0 \frac{3 \sqrt{cos θ}}{{(\sqrt{cos θ} + \sqrt{sin θ})}^{5}} d θ

Q. The value of integral

\int \frac{d θ}{c o s^{3} θ \sqrt{s i n 2 θ}}

can be expressed as irrational function of

t a n θ

Q. The value of the integral

\int_{0}^{2 π} (\frac{3}{9 + s i n^{2} θ}) d θ

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