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Theorems for Differentiability

14. Integrate...

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14. Integrate: (tan square x dx) by substitution method

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Q. Find solution in terms of indefinite integration, using substitution

\int_{0}^{1} x cos ({tan}^{- 1} x) d x

Q. Solve the following pair of linear equations by the substitution method

x + y = 14, x - y = 4

Q. Transform the integral

\int_{1}^{2} \frac{1}{x \sqrt{4 + x^{2}}} d x

by means of the substitution

x = \frac{1}{u}

. Hence, by means of further substitution, or otherwise, evaluate the integral.

8 x + 3 y = 14; 3 x + y = 5

by using substitution method.

Q. Question 1 (i)
Solve the following pair of linear equations by the substitution method.
x+ y= 14 ; x - y= 4

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Theorems for Differentiability

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