int sin^(-1) (cos x) dx = int sin^(-1) sin ((pi)/(2) -x) dx =int ((pi)/(2) -x) dx= (pix)/(2)-(x^(2))/(2)+c
Integrate the functionssinxsin(cosx) 02:09 Integrate the functions sin(a x+b)cos(a x+b) 02:23 Integrate the functionsxsqrt(1+2x^2) 02:56 Integrate the functions(4x+2)sqrt(x^2+x+1) 03:12 int(dx)/(sin^2xcos^2x)equals(A) tanx+cotx+C (B) tanx-cotx+C(C) tanxco... 02:58...
Integrate: \int \frac {\sin x}{(\cos x)^5} dx Integrate: \int \frac {dx}{\sqrt{4x^2 + 1 Integrate: \int \frac {x^2}{x^6+5}dx Integrate \frac {sinx}{(sinx+cosx)} dx Integrate: \frac {x}{x(x+ \sqrt {x})} dx Integrate: \int_{-...
Integrate: \ \int_1^{\infty} \sin(\frac{1}{x})dx \ \int_{0}^{\infty} (x-1)e^{-x}dx Integrate. \int\sqrt{1-y^{2dy Integrate: integral of (y^3)(e^(-y^2)) dy. Integrate: \int_0^1 5x^4e^{x^5}dx Integrate e^-(x2/2) integrate x squareroot(x^2-4) Integrate...
Integrate \frac {sinx}{(sinx+cosx)} dx Determine the indefinite integral below. \int \frac {dx}{x^9}\ \int \frac {dx}{x^9}=\Box Integrate the following. a. \int \frac {2x + 2}{x^2 + 2x + 5} dx b. \int \sin^3 x \cos x dx c. \int \frac {(\ln(x + 2))^...
How do I integrate cosx/(sin^2(x)+9)^2dx?I'm given the hint: "Make a substitution before using partial fraction decomposition". edit: squared the denomenatorFollow • 1 Add comment 1 Expert Answer Best Newest Oldest Andy C. answered • 09/06/17 Tutor 4.9 (27) Math/Physics ...
{1cm} \int x^n\, dx&=\frac { x^{n+1}} {n+1}+C & \left[\text{ This is the power rule of integration } \right]\\[0.3cm] \hspace{1cm}\int \cos (ax)&=\frac{\sin (ax) }{a}+C\\[0.3cm] \hspace{1cm} \int \sin (ax)&=-\frac{\cos (ax) }{a}+C\\[0.3cm] \...
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dx=dt−3sinx+2cosx 4. Express the Numerator: We notice that 2cosx−3sinx can be expressed in terms of dt: 2cosx−3sinx=−12(−3sinx+2cosx) Thus, we can replace the numerator: I=∫−12dtt 5. Integrate: The integral simplifies to: I=−12∫1tdt=−12ln|t|+C 6. Su...
How to integrate 1/(x^2 + x) dx How to integrate 1/(x^2 - y^2) dx How to integrate sqrt(x^2 - 1) dx Integrate a) \int x \sin(4x) dx b) \int_1^e \ln(x) dx Integrate the given function.\\int 9\sec^6x\ dx ...