∫sec2(x) dxtan(x) + C RulesFunction Integral Multiplication by constant∫cf(x) dxc∫f(x) dx Power Rule (n≠−1)∫xndxxn+1n+1+ C Sum Rule∫(f + g) dx∫f dx +∫g dx Difference Rule∫(f - g) dx∫f dx -∫g dx Int
\int_0^\infty\frac{1}{2x^2+1+2x\sqrt{x^2+1}}dx=\frac{1}{2}\int_1^\infty(1+\frac{1}{t^2})\frac{1}{t^2}dt=\frac{2}{3} x=\infty, \theta=\frac{\pi}{2},dx=\sec^2 \theta d\theta,x+\sqrt{1+x^2}=\sec\theta+\tan\theta x+\sqrt{1+x^2}=\frac{\sin ...
Evaluate: ∫(sec2x(tanx−2)3−cscx⋅cotx(cscx−2)5−exex+1)dx Integration by Substitution: The above question concerns the topic of the integration by substitution method. When a given integral is in the complex form it cannot...
Evaluate the following integrals: A) Integral of sqrt(25 - x^2) dx B) Integral of 1/sqrt(x^2 + 4) dx C) Integral of (sqrt(x^2 - 9))/(x^3) dx Evaluate the indefinite integral: Integral of (tan^(-1)3x)/(1 + 9x^2) dx. (Use C for t...
Taken together with case-study evidence of teachers' ICT integration from research on technology in education, these findings challenge assumptions about relationships between mathematics pedagogy and ICT integration prevalent in the mathematics education literature....
π/2 13. 0 4 x sec2 (x2 ) tan(x2 ) dx ? 15. 3 17. 19. 1 6x dx ? 2 ? 7)1/9 (x sin7 x dx ? 1 dx ? (3x ? 7)2 (cos2 x ? sin2 x) dx ? 1 18. ?1 (2x3 ? 1)(x4 ? 2x)6 dx ? 20. ?1 f (x)f (x) dx ? 8.2 Powers of sine and cosine 155 ??
The parser has its own set of built-in functions. They are: sin,cos,tan,sinh,cosh,tanh,sin-¹,cos-¹,tan-¹,sinh-¹,cosh-¹,tanh-¹,sec,csc,cot, sech,csch,coth,sec-¹,csc-¹,cot-¹,sech-¹,csch-¹,coth-¹,exp,ln,lg,log,ln-¹,lg-¹,log-¹, asin...
本學習集中的詞語(9) cosxdx sinx+c sinxdx -cosx+c sec^2x tanx+c cscxcotxdx -cscx+c secxtanxdx secx+c csc^2xdx -cotx+c 1/square root (a^2-x^2) arcsin(x/a)+c 1/(x^2+a^2) (1/a)arctan(x/a)+c 1/x square root (x^2-a^2) (1/a)arcsec(x/a)+c關於...
Given integral: $$\int\left(3^{x} + \sec{x}\tan{x}\right) dx $$ Our objective is to evaluate the given integral. To determine the integration of the...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer...
Answer to: Integrate using integration by parts \int \sin(2x)\sin(2x)dx By signing up, you'll get thousands of step-by-step solutions to your...