Find the value of the integral∫0π/2cosxcosx+sinxdx Trigonometric Integrals: Trigonometric integrals are integrals involving trigonometric functions, such assinx,cosx,tanxand so on. Such integrals are often evaluated with the help of trigonometric identitie...
How does the integral ofcotxbecome−ln(|(cscx)|)+C? Question: How does the integral ofcotxbecome−ln(|(cscx)|)+C? Logarithm Properties When dealing with logarithm functions several properties are useful to reduce the expressions: ...
Find the integral of cos 3x. Solution: ∫ d/dx(f(x)) =∫ cos 3x Let 3x = t thus x = t/3 dx = dt/3 The given integral becomes ∫1/3(cos t) dt = 1/3(sin t) + C = 1/3 sin (3x) + C Answer: The integral of cos 3x = 1/3 sin (3x) + C Example 3. Evaluate ...
evaluate the intergral { 1) 4x^2 (^4\sqrt {(8+4x^3)}) dx\\ 2) cosec^2 (4 \theta + 6 ) d \theta \\3) \frac{(sin t)}{ (10+cos t)^4}\\ 4) x^2 cos (x^3+3) \sqrt {(sin (x^3 +3))} dx } Find the indefinite integral (a) integral of (e^x + 1/x^2...
∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx[This is sum rule of integration]∫cscxcotxdx=−cscx+C[Where C is an arbitrary constant of indefinite integration]∫csc2θ=−cotθ+C[Where C is an arbitrary constant of indefinite integration] ...