Sketch the graph of y=|x+3|and evaluate \(\int_{-6}^{0} |x+3| \,dx\)
Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{a^2}\)+\(\frac{y^2}{b^2}\)=1 and the line \(\frac{x}{a}\)+\(\frac{y}{b}\)=1
Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{9}\)+\(\frac{y^2}{4}\)=1 and the line
\(\frac{x}{3}\)+\(\frac{y}{2}\)=1
Find the area enclosed by the parabola 4y=3x2 and the line 2y=3x+12
Find the area enclosed between the parabola y2=4ax and the line y=mx
Find the area bounded by the curve y=sin x between x=0 and x=2π
Find the area of the region lying in the first quadrant and bounded by y=4x2,x=0,y =1 and y=4