integral tanx^2dx = integral secx^2 - 1dx [since tan^2x+1=sec^2x] = 1/2 tanx – X +C [integralsec^2x=tanx] Thanks and Regards
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∫-1/(√(1-x2))= cos-1 x + C ∫1/(1+x2)= tan-1 x + C ∫-1/(1+x2)= cot-1 x + C ∫1/(x√(x2 -1))= sec-1 x + C ∫-1/(x√(x2 -1))= cosec-1 x + C ∫ exdx=ex + C ∫dx/x=ln|x| + C ∫ ax dx=ax/ln a + CMethods...
Write down the integral of the following (i) 5^x (ii) x^(3//2)+2e^x-... 01:40 Write down the integral of the following 2x-3 cos x+e^x 01:23 Evaluate the following integrals : int (3 cosec^2 x-5x+sinx ) dx. 01:29 Evaluate the following integrals : int (sin x+cos x...
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: ...
Question: 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 trigonometri...
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...
evaluate [itex]\int[/itex]e^([itex]\frac{\kappa*x^2}{2KT}[/itex])dx with limits of integration from -infinity to +infinity using the standard form [itex]\int[/itex]e^(-C*x2)dx = ([itex]\frac{\pi}{4C}[/itex])1/2 with limits of integration from 0 to +infinity. No...
153 AppendixA TableofStandardIntegrals 1. x n dx= x n+1 n+1 +C(n =−1) 2. dx x =log|x|+C 3. e x dx=e x +C 4. sinxdx=−cosx+C 5. cosx,dx=sinx+C 6. sec 2 xdx=tanx+C 7. cosec 2 xdx=−cotx+C 8. sinhxdx=coshx+C 9. coshxdx=sinhx+C 10. dx √ a 2...
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