Answer to: Evaluate the following integral. Integral of sin^3 x cos^2 x dx. By signing up, you'll get thousands of step-by-step solutions to your...
Evaluate {eq}\displaystyle \int \sin (2x)\cos (2x) \ dx {/eq} Integration by Substitution: Integration by substitution can be used when one part of our integral is the derivative of the other portion. We recall the substitution rule for integration: If {eq}u=g(x) {/eq} is a d...
=x1(−cos(xt)) Simplify=−x1cos(xt) Add a constant to the solution=−x1cos(xt)+C Popular Examples Frequently Asked Questions (FAQ) What is the integral of sin(xt) ? The integral of sin(xt) is -1/x cos(xt)+C...
{eq}I=\int\sin^{5}2t\cos^{2}2tdt\ 2t=u\ I=\frac{1}{2}\int \sin^4u \cos^2u \sin udu\ =\frac{1}{2}\int(1-\cos^{2}u)^2\cos^2u \sin u du\ \cos...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a quest...
Evaluate the integral ∫sint+tant3cos2tdt Indefinite Integral in Calculus: The process of finding a function when its derivative is given is called anti-differentiation or integration. There are many formulas to solve integral problems. For this particular problem, apply the tr...
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(sinx+cosx)2 dx=∫0π4lnsin(2x)sin2(x+π4) dx=x→π4−x∫0π4sec2xlncos(2x) dx=∫0π4lncos(2x) dtanx=limx→π4lncos(2x)+2∫0π41−cos(2x)cos(2x) dx=−π2+limx→π4ln[1+sin(2x)]=−π2+ln...
Plotting:35cos(3x)+CassumingC=0 Sorry, your browser does not support this application Enter your problem Popular Examples (\partial)/(\partial y)(x^3+3xy^2)∂y∂(x3+3xy2)integral of ((x^2)/2+sin(x))∫(2x2+sin(x))dx(\partial)/(\partial x)(e^{4xyz-9})∂...
Write down the integral of the following (i)x2/3+1(ii)(3√x+5x4) View Solution Find an antiderivative (or integral) of the following cos 3x (ii)3x2+4x3(iii)(ax+b)2(iv)sin2x−4e3x View Solution Integrate the following :sinxsin(cosx) ...
Evaluate the integral of (2 sin x + 3 cos x) dx Evaluate the integral: int_{1}^{10} sin (1/x) dx. Evaluate the integral: integral sin 5x sin 3x dx. Evaluate the integral: integral sin (x) sin (3 x) dx. Evaluate the definite integral: integral_{0}^{pi / 8} cos 4x sin...