Class 12 Integration special type (Partial fraction)


5161

Mathematics Integration Level: Misc Level

Special type (Partial fraction)
When only even powers of x occur in the numerator as well as the denominator, substitute x^{2}=y to make partial fractions. Once the partial fractions are formed substitute back y=x^{2} and integrate.

\int \frac{x^{2}}{x^{4}-x^{2}-12}dx=I

5162

Mathematics Integration Level: Misc Level

Special type (Partial fraction)
When only even powers of x occur in the numerator as well as the denominator, substitute x^{2}=y to make partial fractions. Once the partial fractions are formed substitute back y=x^{2} and integrate.

\int \frac{x^{2}}{1-x^{4}}dx

5160

Mathematics Integration Level: Misc Level

Special type (Partial fraction)
When only even powers of x occur in the numerator as well as the denominator, substitute x^{2}=y to make partial fractions. Once the partial fractions are formed substitute back y=x^{2} and integrate.

\int \frac{x^{2}}{(x^{2}+1)(x^{2}+4)}dx=I

 

5163

Mathematics Integration Level: Misc Level

Special type (Partial fraction)
When only even powers of x occur in the numerator as well as the denominator, substitute x^{2}=y to make partial fractions. Once the partial fractions are formed substitute back y=x^{2} and integrate.

\int \frac{Sinx}{Sin4x}dx

Displaying 1-4 of 4 results.

  • Contact Detail

    Learning Circle

    O 127, First Floor, Shopping Mall, Arjun Marg, DLF Phase 1,
    Gurugram, Haryana 122002

    [email protected]

    learningcircleworld.com

    +91-98180 48844