Evaluate the indefinite integral. { \int sec^3x tanx dx } Use the trigonometric substitution x=tan \theta to find the integral \int \frac{1}{(x^{2}+1)^{2dx . Find indefinite integral of: \tan ^{3}(3x)dx Calculate the indefinite integral. \int\frac{3 - \tan \theta}{\...
Integrate: integral of (sec^2 x)/(tan^2 x + 9tan x + 20) dx. Find the integral of (cos x - sin x)^2 dx. Evaluate the indefinite integral. { \int sec^3x tanx dx } Find the integral of sec^2 x sec^2(tan x) dx. ...
∫ sec2x dx = tanx+C ∫ secx tanxdx = secx+C ∫ cscx cotx dx = -cscx+C ∫1/(√(1-x2))= sin-1 x + C ∫-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...
Answer and Explanation:1 We are given: {eq}\displaystyle \int_{0}^{\frac{\pi }{2}}\sin ^{3}\ x\cos ^{2}\ x \ dx {/eq} Compute the indefinite integral: {eq}=\displaystyle... Learn more about this topic: Applying the Rules of Differentiation to Calculate Derivatives ...
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常用积分表（Common integral table）Common integral formula (a) containing the integral (axb+0a =) Formula 1.dxaxb+ = 1lnaxbCa++ 2. = (axbx) + 11 (formula)(1)AxbCa + + + Mu + (U = 1.)3.dxxaxb+ = formula 21 (LN) axbbaxbCa+.++ The 4.2dxxaxb+ formula (2) = 22311 (...
(3−x+2x 2 )dxAns:3x−x 2 /2+2x 3 /3+C B7. (1+x+x 2 +···+x n−1 )dxAns:x+x 2 /2+x 3 /3+···+x n /n+C B8. (3−cosx+3x 2 )dxAns:3x−sinx+x 3 +C B9. (sec 2 x+5sinx)dxAns:tanx−5cosx+C B10. (x+1/x)dxAns:x 2 /2+ln|x|+...
89.2secdxx∫=tanxc + 90.2cscdxx∫=cotxc. + 91.sectandxxx∫=secxc + 92.csccotdxxx∫=cscxc. + 93.2sindxx∫=1sin224xxc. + 94.2cosdxx∫=1sin224xxc + + 95.sindnxx∫=1211sincossindnnnxxxnn... . + ∫ 96.cosdnxx∫=1211cossincosdnnnxxxnn... ...
(a) \int sec^2x \space tanx dx (b) \int (x^3 +x)^{10}(3x^2 + 1) dx Evaluate the integral: integral x sec^2 (3 x) dx. Evaluate the integral. integral 18 sec^2 (3 x) dx Evaluate the integral. integral x sec^2 (x) dx Evaluate the integral. Integral of (sec^2 x)/...
Question: Evaluate {eq}\int x(1 - x)^{99} \, \mathrm{d}x {/eq}. Indefinite Integration: The evaluation of the indefinite integration produces the new function, and the constant of integration is added to the solution. The indefinite integral is also known as the anti-differentiation tech...