Exercise 19.13 Archives

CBSE Class 12 RD Sharma Maths Indefinite Integrals Exercise 19.13

Exercise 19.13

$\int \frac{{x}^{7}}{\left(a^{2}-x^{2}\right)^{5}} d x$

CBSE, Class 12, Exercise 19.13, Indefinite Integrals

Solution: $\mathrm{I}=\int \frac{x^{7}}{\left(a^{2}-x^{2}\right)^{5}} d x$ Suppose $\mathrm{x}=a \sin \theta$ On differentiating both the sides we obtain $d x=a \cos \theta d \theta$...

$\int \frac{x^{2}}{\left(a^{2}-x^{2}\right)^{\frac{3}{2}}} d x$

CBSE, Class 12, Exercise 19.13, Indefinite Integrals, Maths, RD Sharma

Solution: Given that $\int \frac{x^{2}}{\left(a^{2}-x^{2}\right)^{3 / 2}} d x$ Putting $x=a \sin \theta$, then $d x=a \cos \theta d \theta$ and $\theta=\sin ^{-1}(x / a)$ The above equation becomes,...

$\int \frac{{x}^{7}}{\left(a^{2}-x^{2}\right)^{5}} d x$

$\int \frac{x^{2}}{\left(a^{2}-x^{2}\right)^{\frac{3}{2}}} d x$

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