Calculus

Integration Techniques

Integration U-substitution - Trigonometric

         

Evaluate the integral 10x32xx2dx,\displaystyle{ \int { \frac{10x}{\sqrt{3-2x-x^2}} dx }} , using CC as the constant of integration.

Evaluate the integral 479x2x2dx,\displaystyle{ \int { \frac { 47 \sqrt{9-x^2} }{x^2 } dx } }, using CC as the constant of integration.

Evaluate the integral 15x2x2+4dx,\displaystyle{ \int{\frac{15}{x^2\sqrt{x^2+4}}dx}}, using CC as the constant of integration.

Evaluate the integral 43cos3xdx,\displaystyle{ 43\int { \cos^3 x dx} }, using CC as the constant of integration.

Given a>0, a>0 , evaluate the integral 41dxx2a2, \displaystyle{ 41 \int { \frac{dx}{\sqrt{x^2 - a^2}} }}, using CC as the constant of integration.

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